# zbMATH — the first resource for mathematics

## Analysis (München)

### International Mathematical Journal of Analysis and its Applications

 Short Title: Analysis, München Publisher: De Gruyter (Oldenbourg), München ISSN: 0174-4747; 2196-6753/e Online: http://www.degruyter.com/view/j/anlyhttp://www.oldenbourg-link.com/loi/anly Predecessor: Analysis Comments: Indexed cover-to-cover
 Documents Indexed: 594 Publications (since 1998) References Indexed: 303 Publications with 4,527 References.
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#### Latest Issues

 41, No. 3 (2021) 41, No. 2 (2021) 41, No. 1 (2021) 40, No. 4 (2020) 40, No. 3 (2020) 40, No. 2 (2020) 40, No. 1 (2020) 39, No. 4 (2019) 39, No. 3 (2019) 39, No. 2 (2019) 39, No. 1 (2019) 38, No. 4 (2018) 38, No. 3 (2018) 38, No. 2 (2018) 38, No. 1 (2018) 37, No. 4 (2017) 37, No. 3 (2017) 37, No. 2 (2017) 37, No. 1 (2017) 36, No. 4 (2016) 36, No. 3 (2016) 36, No. 2 (2016) 36, No. 1 (2016) 35, No. 4 (2015) 35, No. 3 (2015) 35, No. 2 (2015) 35, No. 1 (2015) 34, No. 4 (2014) 34, No. 3 (2014) 34, No. 2 (2014) 34, No. 1 (2014) 33, No. 4 (2013) 33, No. 3 (2013) 33, No. 2 (2013) 33, No. 1 (2013) 32, No. 4 (2012) 32, No. 3 (2012) 32, No. 2 (2012) 32, No. 1 (2012) 31, No. 4 (2011) 31, No. 3 (2011) 31, No. 2 (2011) 31, No. 1 (2011) 30, No. 4 (2010) 30, No. 3 (2010) 30, No. 2 (2010) 30, No. 1 (2010) 29, No. 4 (2009) 29, No. 3 (2009) 29, No. 2 (2009) 29, No. 1 (2009) 28, No. 4 (2008) 28, No. 3 (2008) 28, No. 2 (2008) 28, No. 1 (2008) 27, No. 4 (2007) 27, No. 2-3 (2007) 27, No. 1 (2007) 26, No. 4 (2006) 26, No. 3 (2006) 26, No. 2 (2006) 26, No. 1 (2006) 25, No. 4 (2005) 25, No. 3 (2005) 25, No. 2 (2005) 25, No. 1 (2005) 24, No. 4 (2004) 24, No. 3 (2004) 24, No. 2 (2004) 24, No. 1 (2004) 23, No. 4 (2003) 23, No. 3 (2003) 23, No. 2 (2003) 23, No. 1 (2003) 22, No. 4 (2002) 22, No. 3 (2002) 22, No. 2 (2002) 22, No. 1 (2002) 21, No. 4 (2001) 21, No. 3 (2001) 21, No. 2 (2001) 21, No. 1 (2001) 20, No. 4 (2000) 20, No. 3 (2000) 20, No. 2 (2000) 20, No. 1 (2000) 19, No. 4 (1999) 19, No. 3 (1999) 19, No. 2 (1999) 19, No. 1 (1999) 18, No. 4 (1998) 18, No. 3 (1998) 18, No. 2 (1998) 18, No. 1 (1998)
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#### Authors

 10 Móricz, Ferenc 10 Qi, Feng 9 Ponnusamy, Saminathan 7 Lasarow, Andreas 6 Agarwal, Ravi P. 6 Coffey, Mark William 6 Debnath, Lokenath 6 Luh, Wolfgang 6 Naylor, Derek 6 Weisz, Ferenc 5 Bultheel, Adhemar François 5 Dragomir, Sever Silvestru 5 Esi, Ayhan 5 Fritzsche, Bernd 5 Kirstein, Bernd 5 Sauvigny, Friedrich 4 Bergner, Matthias 4 Gharibyan, Tatevik L. 4 Goodrich, Christopher S. 4 Grahl, Jürgen 4 Guo, Bai-Ni 4 Khan, Vakeel Ahmad 4 Koumandos, Stamatis 4 Lahiri, Indrajit 4 Lanza de Cristoforis, Massimo 4 Müller, Jürgen 4 Nieß, Markus 4 O’Regan, Donal 4 Pinelas, Sandra 4 Simader, Christian Georg 4 Sooppy Nisar, Kottakkaran 4 Steuding, Jörn 4 Subramanian, Nagarajan 4 Zachos, Anastasios N. 3 Al-Khaladi, Amer Haider Hussein 3 Alzer, Horst 3 Banerjee, Abhijit 3 Begehr, Heinrich 3 Botkin, Nikolai D. 3 Bundschuh, Peter 3 Ebadullah, Khalid 3 Finn, Robert S. 3 Garunkštis, Ramūnas 3 Gazzola, Filippo 3 González-Vera, Pablo 3 Hendriksen, Erik 3 Hoffmann, Karl-Heinz 3 Hong, Guanghao 3 Kumar, Ajay 3 Laurinčikas, Antanas 3 Liflyand, Elijah 3 Majumder, Sujoy 3 Martirosian, Valeri A. 3 Mayer, Natalie 3 Natarajan, Pinnangudi Narayanasubramanian 3 Nestoridis, Vassili 3 Njåstad, Olav 3 Obradović, Milutin 3 Pauly, Dirk 3 Ramm, Alexander G. 3 Rhoades, Billy E. 3 Ruscheweyh, Stephan 3 Saker, Samir H. 3 Schlage-Puchta, Jan-Christoph 3 Shah, Firdous Ahmad 3 Ströhmer, Gerhard 3 Turova, Varvara L. 3 Vogel, Thomas Irvin 3 Volkmer, Hans 3 von Wahl, Wolf 3 Watson, Bruce Brigham 3 Winklmann, Sven 2 Alber, Yakov I. 2 Annaby, Mahmoud H. 2 Araci, Serkan 2 Băleanu, Dumitru I. 2 Bohner, Martin J. 2 Bolik, Jürgen 2 Calderón-Moreno, María del Carmen 2 Choque Rivero, Abdon Eddy 2 Costakis, George 2 da Silva, Daniel Oliveira 2 Dall’Acqua, Anna 2 Danikas, Nikolaos 2 Dar, Showkat Ahmad 2 El Bachraoui, Mohamed 2 Elsner, Carsten 2 Escher, Joachim 2 Farwig, Reinhard 2 Fiřt, Roman 2 Fournier, Richard 2 Frank, Günter 2 Fridy, John A. 2 Fröhlich, Steffen 2 Gaier, Dieter 2 Gauthier, Paul M. 2 Ghosh, Goutam Kumar 2 Grunau, Hans-Christoph 2 Harutyunyan, Anahit V. 2 Hishida, Toshiaki ...and 607 more Authors
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#### Fields

 140 Functions of a complex variable (30-XX) 138 Partial differential equations (35-XX) 60 Real functions (26-XX) 59 Sequences, series, summability (40-XX) 56 Harmonic analysis on Euclidean spaces (42-XX) 55 Number theory (11-XX) 54 Special functions (33-XX) 53 Operator theory (47-XX) 44 Ordinary differential equations (34-XX) 43 Functional analysis (46-XX) 37 Approximations and expansions (41-XX) 34 Potential theory (31-XX) 34 Fluid mechanics (76-XX) 33 Differential geometry (53-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 21 Integral transforms, operational calculus (44-XX) 16 Several complex variables and analytic spaces (32-XX) 16 Difference and functional equations (39-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 Numerical analysis (65-XX) 11 Integral equations (45-XX) 10 Mechanics of deformable solids (74-XX) 9 Measure and integration (28-XX) 9 Abstract harmonic analysis (43-XX) 7 Convex and discrete geometry (52-XX) 6 Geometry (51-XX) 5 General topology (54-XX) 5 Probability theory and stochastic processes (60-XX) 5 Optics, electromagnetic theory (78-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Biology and other natural sciences (92-XX) 3 History and biography (01-XX) 3 Astronomy and astrophysics (85-XX) 2 Combinatorics (05-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

376 Publications have been cited 1,832 times in 1,663 Documents Cited by Year
On the projection methods for fixed point problems. Zbl 0985.47044
Alber, Yakov; Guerre-Delabriere, Sylvie
2001
Simultaneous finite time blow-up in a two-species model for chemotaxis. Zbl 1186.35098
Espejo Arenas, Elio Eduardo; Stevens, Angela; Velázquez, Juan J. L.
2009
Definiteness of quadratic functionals. Zbl 1070.49014
Kratz, Werner
2003
Time-harmonic Maxwell equations in the exterior of perfectly conducting, irregular obstacles. Zbl 1075.35085
Picard, Rainer; Weck, Norbert; Witsch, Karl-Josef
2001
Convergence in variation and rates of approximation for Bernstein-type polynomials and singular convolution integrals. Zbl 1049.41015
Bardaro, C.; Butzer, P. L.; Stens, R. L.; Vinti, G.
2003
Positive eigenfunctions for the $$p$$-Laplace operator revisited. Zbl 1136.35063
Kawohl, Bernd; Lindqvist, Peter
2006
Joint universality for sums and products of Dirichlet $$L$$-functions. Zbl 1140.11044
Sander, Jürgen; Steuding, Jörn
2006
Composition operators on Bloch type spaces. Zbl 1058.47024
Lou, Zengjian
2003
The Stokes operator with rotation effect in exterior domains. Zbl 0938.35114
Hishida, Toshiaki
1999
Some series of the zeta and related functions. Zbl 0919.11056
Adamchik, Victor S.; Srivastava, H. M.
1998
Spectral stability of Prandtl boundary layers: an overview. Zbl 1327.76065
Grenier, Emmanuel; Guo, Yan; Nguyen, Toan T.
2015
Boundary value problems for the inhomogeneous polyanalytic equation. I. Zbl 1077.30034
Begehr, Heinrich; Kumar, Ajay
2005
Asymptotic behavior of the solutions of the Dirichlet problem for the Laplace operator in a domain with a small hole. A functional analytic approach. Zbl 1153.35020
Lanza de Cristoforis, Massimo
2008
Shared values and normal families. Zbl 1030.30030
Pang, Xuecheng
2002
Sharp inequalities for the psi function and harmonic numbers. Zbl 1294.33003
Guo, Bai-Ni; Qi, Feng
2014
On a fourth order Steklov eigenvalue problem. Zbl 1112.49035
Ferrero, Alberto; Gazzola, Filippo; Weth, Tobias
2005
Applications of Zalcman’s lemma to $$Q_m$$-normal families. Zbl 1032.30024
Nevo, Shahar
2001
On meromorphic functions that share one value with their derivative. Zbl 1089.30025
Al-Khaladi, Amer H. H.
2005
Convolutions of slanted half-plane harmonic mappings. Zbl 1286.30011
Li, Liulan; Ponnusamy, S.
2013
Tight wavelet frames on local fields. Zbl 1277.42047
Shah, F. A.; Debnath, Lokenath
2013
Initial value problems for systems of ordinary first and second order differential equations with a singularity of the first kind. Zbl 1029.34002
Koch, Othmar; Kofler, Peter; Weinmüller, Ewa B.
2001
Univalency, starlikeness and convexity applied to certain classes of rational functions. Zbl 1010.30011
Obradović, M.; Ponnusamy, S.; Singh, V.; Vasundhra, P.
2002
Interface conditions for degenerate two-phase flow equations in one space dimension. Zbl 1184.35111
Buzzi, Fulvia; Lenzinger, Michael; Schweizer, Ben
2009
Differentiability and Hölder continuity of Riesz potentials of Orlicz functions. Zbl 0955.31002
Mizuta, Yoshihiro; Shimomura, Tetsu
2000
Evolution of open elastic curves in $$\mathbb{R}^n$$ subject to fixed length and natural boundary conditions. Zbl 1293.35136
Dall’Acqua, Anna; Lin, Chun-Chi; Pozzi, Paola
2014
Orthogonal rational functions and interpolatory product rules on the unit circle. III: Convergence of general sequences. Zbl 0979.41019
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O.
2000
A Navier boundary value problem for Willmore surfaces of revolution. Zbl 1188.53065
Deckelnick, Klaus; Grunau, Hans-Christoph
2009
Representation of multipliers on spaces of real analytic functions. Zbl 1288.46020
Langenbruch, Michael; Domański, Paweł
2012
Theorems relating to statistical harmonic summability and ordinary convergence of slowly decreasing or oscillating sequences. Zbl 1051.40006
Móricz, Ferenc
2004
Time scale embedding theorem and coercivity of quadratic functionals. Zbl 1136.49017
Hilscher, Roman; Zeidan, Vera
2008
Hausdorff operator on real Hardy spaces. Zbl 1320.47036
Fan, Dashan; Lin, Xiaoying
2014
Hermite-Hadamard type integral inequalities for geometric-arithmetically $$s$$-convex functions. Zbl 1272.26024
Shuang, Ye; Yin, Hong-Ping; Qi, Feng
2013
Entire and meromorphic solutions of Fermat type partial differential equations. Zbl 0945.35021
Saleeby, Elias G.
1999
Orthogonal rational functions and interpolatory product rules on the unit circle. II: Quadrature and convergence. Zbl 0929.30027
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
1998
The Dirichlet problem for graphs of prescribed anisotropic mean curvature in $$\mathbb R^{n+1}$$. Zbl 1167.53048
Bergner, Matthias
2008
Entire functions sharing a polynomial with their derivatives and normal families. Zbl 1135.30312
Grahl, Jürgen; Meng, Chao
2008
On some classes of universal functions. Zbl 1001.30004
Vlachou, V.
2002
Equivalence results for Cesàro submethods. Zbl 0949.40015
Osikiewicz, Jeffrey A.
2000
Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions. Zbl 1351.33007
Sitnik, Sergei M.; Mehrez, Khaled
2016
Regularity results for generalized electro-magnetic problems. Zbl 1225.35229
Kuhn, Peter; Pauly, Dirk
2010
A regularity criterion of Serrin-type for the Navier-Stokes equations involving the gradient of one velocity component. Zbl 1328.35157
Wolf, Jörg
2015
The joint universality for periodic Hurwitz zeta-functions. Zbl 1187.11030
Laurinčikas, Antanas
2006
Statistical limits of measurable functions. Zbl 1062.40007
Móricz, Ferenc
2004
On a class of extremal solutions of the nondegenerate matricial Carathéodory problem. Zbl 1151.30027
Fritzsche, Bernd; Kirstein, Bernd; Lasarow, Andreas
2007
Generalized electro-magneto statics in nonsmooth exterior domains. Zbl 1132.35487
Pauly, Dirk
2007
A note on a problem of Hayman. Zbl 0948.30030
Fang, Mingliang
2000
The Stieltjes constants, their relation to the $$\eta_j$$ coefficients, and representation of the Hurwitz zeta function. Zbl 1235.11079
Coffey, Mark W.
2010
Analysis of fractional diffusion equations of distributed order: maximum principles and their applications. Zbl 1381.35208
Al-Refai, Mohammed; Luchko, Yuri
2016
Traces of differential forms on Lipschitz boundaries. Zbl 1187.35023
Weck, Norbert
2004
Counterexamples to symmetry for partially overdetermined elliptic problems. Zbl 1180.35200
Fragalà, Ilaria; Gazzola, Filippo; Lamboley, Jimmy; Pierre, Michel
2009
The multi-parameter Hausdorff operator is bounded on the product Hardy space $$H^{11}(\mathbb R\times\mathbb R)$$. Zbl 0987.47023
Liflyand, Elijah; Móricz, Ferenc
2001
Order of magnitude of double Fourier coefficients of functions of bounded variation. Zbl 1039.42009
Móricz, Ferenc
2002
Pairs of linear differential polynomials. Zbl 0934.30026
Frank, G.; Langley, J. K.
1999
Introduction of isothermal parameters into a Riemannian metric by the continuity method. Zbl 0936.35046
Sauvigny, Friedrich
1999
Boundary regularity via Uhlenbeck-Rivière decomposition. Zbl 1181.35102
Müller, Frank; Schikorra, Armin
2009
On the steady flow of reactive gaseous mixture. Zbl 1327.76110
Giovangigli, Vincent; Pokorný, Milan; Zatorska, Ewelina
2015
Compact traces in weighted Sobolev spaces. Zbl 0923.46038
Pflüger, Klaus
1998
The boundedness of the Hausdorff operator on multi-dimensional Hardy spaces. Zbl 1071.47033
Weisz, Ferenc
2004
Universal Taylor series on non-simply connected domains. Zbl 1144.30002
Costakis, George; Vlachou, Vagia
2006
Radius properties for subclasses of univalent functions. Zbl 1121.30010
Obradović, M.; Ponnusamy, S.
2005
Separating positivity and regularity for fourth order Dirichlet problem in 2d-domains. Zbl 1330.35118
Dall’Acqua, Anna; Meister, Christian; Sweers, Guido
2005
On a conjecture of Korenblum. Zbl 0934.30020
Hayman, Walter Kurt
1999
A singularly perturbed nonlinear traction boundary value problem for linearized elastostatics. A functional analytic approach. Zbl 1375.35540
Dalla Riva, M.; Lanza de Cristoforis, Massimo
2010
Meromorphic solutions of $$f^6+ g^6+ h^6\equiv 1$$. Zbl 0916.30028
Gundersen, Gary G.
1998
Dynamic inequalities of Hardy and Copson type on time scales. Zbl 1300.26022
Saker, Samir H.; O’Regan, Donal; Agarwal, Ravi P.
2014
Erratum: “Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers”. Zbl 1354.11020
Qi, Feng; Guo, Bai-Ni
2014
Universal overconvergence of homogeneous expansions of harmonic functions. Zbl 1132.31002
Gauthier, Paul M.; Tamptse, Innocent
2006
On the decrease of Faber polynomials in domains with piecewise analytic boundary. Zbl 0981.30028
Gaier, Dieter
2001
Universal Faber series. Zbl 0990.30001
Katsoprinakis, E.; Nestoridis, V.; Papadoperakis, I.
2001
Universal functions with small derivatives and extremely fast growth. Zbl 0999.30022
Calderón-Moreno, M. C.
2002
Iterative-projection regularization of ill-posed variational inequalities. Zbl 1151.49303
Alber, Yakov; Nashed, Zuhair
2004
On a doubly degenerate quasilinear anisotropic parabolic equation. Zbl 1049.35106
2003
Asymptotic estimates for generalized Stirling numbers. Zbl 1093.11504
Chelluri, R.; Richmond, L. B.; Temme, N. M.
2000
Matrix transformations of statistical cores of complex sequences. Zbl 0949.40008
Li, Jinlu; Fridy, J. A.
2000
Asymptotics analysis of generalized Hermite polynomials. Zbl 1165.33008
Dominici, Diego
2008
Multiplications and convolutions in L. Schwartz’ spaces of test functions and distributions and their continuity. Zbl 1318.46026
Larcher, Julian
2013
Characterization of univalent harmonic mappings with integer or half-integer coefficients. Zbl 1360.31003
Ponnusamy, Saminathan; Qiao, Jinjing
2017
Hypergeometric summation representations of the Stieltjes constants. Zbl 1284.11118
Coffey, Mark W.
2013
Convergence of the Neumann Laplacian on shrinking domains. Zbl 0977.35039
Saitō, Yoshimi
2001
Converse Marcinkiewicz-Zygmund inequalities on the real line with application to mean convergence of Lagrange interpolation. Zbl 1011.41004
Damelin, S. B.; Jung, H. S.; Kwon, K. H.
2002
Curvature estimates for $$\mu$$-stable $$G$$-minimal surfaces and theorems of Bernstein type. Zbl 1172.35388
Fröhlich, Steffen
2002
Artificial boundary conditions for the Oseen system in 3D exterior domains. Zbl 0948.35039
Deuring, Paul; Kračmar, Stanislav
2000
Stable equilibria to elliptic equations in unbounded domains with nonlinear dynamic boundary conditions. Zbl 0973.35078
Escher, Joachim
2000
On sampling and second order difference equations. Zbl 0941.39010
Annaby, M. H.; García, A. G.; Harnández-Medina, M. A.
1999
A singular example for the Willmore flow. Zbl 1184.53068
Blatt, Simon
2009
Affine harmonic maps. Zbl 1185.53072
Jost, Jürgen; Muazzez Şimşir, Fatma
2009
Entire functions sharing values with their derivatives. Zbl 1242.30021
Lahiri, Indrajit; Ghosh, Goutam Kumar
2011
Existence and asymptotic behavior of standing waves of the nonlinear Helmholtz equation in the plane. Zbl 1376.35004
Evéquoz, Gilles
2017
Well-posedness and scattering for the mass-energy NLS on $$\mathbb{R}^n\times\mathcal{M}^k$$. Zbl 1368.35081
Tarulli, Mirko
2017
New monotonicity conditions in discrete fractional calculus with applications to extremality conditions. Zbl 1368.26008
Dahal, Rajendra; Drvol, Stanley; Goodrich, Christopher S.
2017
On the universality for $$L$$-functions attached to Maass forms. Zbl 1085.11043
Nagoshi, Hirofumi
2005
Semi-orthogonal wavelet frames on local fields. Zbl 1346.42050
Shah, Firdous A.; Bhat, M. Younus
2016
Hermite-Hadamard-type inequalities for increasing convex-along-rays functions. Zbl 1064.26017
Dragomir, S. S.; Dutta, J.; Rubinov, A. M.
2004
On positive solutions to fractional difference inclusions. Zbl 1317.39006
Ferreira, Rui A. C.; Goodrich, Christopher S.
2015
Optimal initial value conditions for local strong solutions of the Navier-Stokes equations in exterior domains. Zbl 1274.76189
Farwig, Reinhard; Komo, Christian
2013
Universal Taylor series on unbounded open sets. Zbl 1144.30003
Diamantopolous, E.; Mouratides, Ch.; Tsirivas, N.
2006
Stability of disk-like galaxies. I: Stability via reduction. Zbl 1135.35084
Fiřt, Roman; Rein, Gerhard
2006
On the Riemann-Hilbert-Poincaré problem for analytic functions. Zbl 1058.30030
Begehr, Heinrich; Dai, Dao-Qing
2002
$$L^q$$-solutions to the Cosserat spectrum in bounded and exterior domains. Zbl 1157.35036
Weyers, Stephan
2006
Semi-convex hulls of analytic functions in the unit disk. Zbl 0940.30004
Danikas, Nicholas; Ruscheweyh, Stephan
1999
A new extension of Srivastava’s triple hypergeometric functions and their associated properties. Zbl 07356825
Saboor, Abdus; Rahman, Gauhar; Anjum, Zunaira; Nisar, Kottakkaran Sooppy; Araci, Serkan
2021
A viscosity-type algorithm for an infinitely countable family of $$(f,g)$$-generalized $$k$$-strictly pseudononspreading mappings in $$\operatorname{CAT}(0)$$ spaces. Zbl 1443.47057
Aremu, Kazeem O.; Abass, Hammed; Izuchukwu, Chinedu; Mewomo, Oluwatosin T.
2020
Well-posedness of problem with parameter for an integro-differential equation. Zbl 07307905
Assanova, Anar T.; Bakirova, Elmira A.; Vassilina, Gulmira K.
2020
Positivity and monotonicity results for triple sequential fractional differences via convolution. Zbl 1446.39003
Goodrich, Christopher S.; Lyons, Benjamin
2020
Characterizations of ideal cluster points. Zbl 1430.40003
Leonetti, Paolo; Maccheroni, Fabio
2019
Necessary and sufficient conditions for oscillation of nonlinear first-order forced differential equations with several delays of neutral type. Zbl 1443.34067
Pinelas, Sandra; Santra, Shyam S.
2019
Global existence theory for fractional differential equations: new advances via continuation methods for contractive maps. Zbl 1436.34003
Almuthaybiri, Saleh S.; Tisdell, Christopher C.
2019
A global div-curl-lemma for mixed boundary conditions in weak Lipschitz domains and a corresponding generalized $$A_0^*$$-$$A_1$$-lemma in Hilbert spaces. Zbl 1428.35029
Pauly, Dirk
2019
Certain fractional kinetic equations involving generalized $$K$$-functions. Zbl 1430.34002
Agarwal, Garima; Nisar, Kottakkaran Sooppy
2019
Hardy-Sobolev inequality with higher dimensional singularity. Zbl 1430.35104
Thiam, El Hadji Abdoulaye
2019
On Hyers-Ulam stability of fractional differential equations with Prabhakar derivatives. Zbl 1384.34012
Derakhshan, Mohammad Hossein; Ansari, Alireza
2018
Inequalities of Hardy type and generalizations on time scales. Zbl 1384.26046
Saker, Samir H.; Osman, Mahmoud M.; O&rsquo;Regan, Donal; Agarwal, Ravi P.
2018
Tangential derivatives and higher-order regularizing properties of the double layer heat potential. Zbl 1427.31004
Lanza de Cristoforis, Massimo; Luzzini, Paolo
2018
On the oscillation of impulsive vector partial differential equations with distributed deviating arguments. Zbl 1398.35283
Chatzarakis, George E.; Sadhasivam, Vadivel; Raja, Thangaraj
2018
An overdetermined problem for the infinity-Laplacian around a set of positive reach. Zbl 1415.35212
Greco, Antonio
2018
A uniqueness result for differential pencils with discontinuities from interior spectral data. Zbl 1410.34063
Khalili, Yasser; Baleanu, Dumitru
2018
On singular curves with Gaussian curvature bounds. Zbl 1394.53064
Fang, Hao; Wo, Weifeng
2018
Generating relations and multivariable Aleph-function. Zbl 1393.33015
Ayant, Frédéric; Kumar, Dinesh
2018
Evaluation of some $$q$$-integrals in terms of the Dedekind eta function. Zbl 1429.11079
Doyle, Greg; Williams, Kenneth S.
2018
Some uniqueness results related to the Brück conjecture. Zbl 1390.30037
Chakraborty, Bikash
2018
Characterization of univalent harmonic mappings with integer or half-integer coefficients. Zbl 1360.31003
Ponnusamy, Saminathan; Qiao, Jinjing
2017
Existence and asymptotic behavior of standing waves of the nonlinear Helmholtz equation in the plane. Zbl 1376.35004
Evéquoz, Gilles
2017
Well-posedness and scattering for the mass-energy NLS on $$\mathbb{R}^n\times\mathcal{M}^k$$. Zbl 1368.35081
Tarulli, Mirko
2017
New monotonicity conditions in discrete fractional calculus with applications to extremality conditions. Zbl 1368.26008
Dahal, Rajendra; Drvol, Stanley; Goodrich, Christopher S.
2017
$$s$$-convex functions on discrete time domains. Zbl 1373.26012
Yaldız, Hatice; Agarwal, Praveen
2017
Double integral inequalities of Hermite-Hadamard type for $$h$$-convex functions on linear spaces. Zbl 1356.26009
Dragomir, Sever S.
2017
Weighted composition operators between weak spaces of vector-valued analytic functions. Zbl 1370.47026
Hassanlou, Mostafa; Laitila, Jussi; Vaezi, Hamid
2017
A result on a Dirac-type equation in spaces of analytic functions. Zbl 1379.35268
Oliveira da Silva, Daniel
2017
Ulam-Hyers stability of hexadecic functional equations in multi-Banach spaces. Zbl 1386.39046
Ramdoss, Murali; Pinelas, Sandra; Ardulass, Antony Raj
2017
Uniqueness of weak solutions to a prion equation with polymer joining. Zbl 1368.35007
Leis, Elena; Walker, Christoph
2017
Numerical analysis of two-parameter singularly perturbed boundary value problems via fitted splines. Zbl 1368.65118
Ravi Kanth, A. S. V.; Murali Mohan Kumar, P.
2017
Existence of variational solutions for time dependent integrands via minimizing movements. Zbl 1373.35158
Schätzler, Leah
2017
Enclosure theorems and barrier principles for energy stationary currents and the associated brakke-flow. Zbl 1378.49053
Henkemeyer, Patrick
2017
Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions. Zbl 1351.33007
Sitnik, Sergei M.; Mehrez, Khaled
2016
Analysis of fractional diffusion equations of distributed order: maximum principles and their applications. Zbl 1381.35208
Al-Refai, Mohammed; Luchko, Yuri
2016
Semi-orthogonal wavelet frames on local fields. Zbl 1346.42050
Shah, Firdous A.; Bhat, M. Younus
2016
Cyclic refinements of the discrete and integral form of Jensen’s inequality with applications. Zbl 1351.26021
Horváth, László; Khan, Khuram Ali; Pečarić, Josip
2016
Mountain pass solutions for perturbed Hardy-Sobolev equations on compact manifolds. Zbl 1354.58015
Jaber, Hassan
2016
On Volterra functions and Ramanujan integrals. Zbl 1342.45001
Garrappa, Roberto; Mainardi, Francesco
2016
Local one-sided porosity and pretangent spaces. Zbl 1357.54026
Altınok, Maya; Dovgoshey, Oleksiy; Küçükaslan, Mehmet
2016
Remark on meromorphic functions sharing five pairs. Zbl 1359.30046
Steinmetz, Norbert
2016
Mathematical analysis of time flow. Zbl 1335.35211
Hilfer, Rudolf
2016
A note on perturbed Hammerstein equations with applications to nonlocal boundary value problems. Zbl 1346.45006
Goodrich, Christopher S.
2016
The maximal domain of meromorphic continuation of a Dirichlet series. Zbl 1398.11117
Bhowmik, Gautami; Schlage-Puchta, Jan-Christoph
2016
The time-dependent Stokes problem with Navier slip boundary conditions on $$L^p$$-spaces. Zbl 1358.35086
Al Baba, Hind; Amrouche, Chérif; Rejaiba, Ahmed
2016
Restrictions of harmonic functions and Dirichlet eigenfunctions of the hata set to the interval. Zbl 1351.31005
Espinoza, Baltazar; Sáenz, Ricardo A.
2016
Products of incomplete gamma functions. Zbl 1347.33009
2016
Fractional differentiation of the product of Bessel functions of the first kind. Zbl 1332.26014
Sebastian, Nicy; Gorenflo, Rudolf
2016
Weighted mixed spherical means and singular ultrahyperbolic equation. Zbl 1338.42027
Lyakhov, Lev N.; Shishkina, Elina L.
2016
Fractional approximation of solutions of evolution equations. Zbl 1338.34109
Kochubei, Anatoly N.; Kondratiev, Yuri G.
2016
An inverse problem for a multidimensional fractional diffusion equation. Zbl 1338.35502
Tuan, Vu Kim; Hoang, Nguyen Si
2016
Spectral stability of Prandtl boundary layers: an overview. Zbl 1327.76065
Grenier, Emmanuel; Guo, Yan; Nguyen, Toan T.
2015
A regularity criterion of Serrin-type for the Navier-Stokes equations involving the gradient of one velocity component. Zbl 1328.35157
Wolf, Jörg
2015
On the steady flow of reactive gaseous mixture. Zbl 1327.76110
Giovangigli, Vincent; Pokorný, Milan; Zatorska, Ewelina
2015
On positive solutions to fractional difference inclusions. Zbl 1317.39006
Ferreira, Rui A. C.; Goodrich, Christopher S.
2015
Convergence of the inverse continuous wavelet transform in Wiener amalgam spaces. Zbl 1316.42045
Weisz, Ferenc
2015
Certain identities, connection and explicit formulas for the Bernoulli and Euler numbers and the Riemann zeta-values. Zbl 1338.11032
Yakubovich, Semyon
2015
Well-posedness for coupled bulk-interface diffusion with mixed boundary conditions. Zbl 1327.35198
Disser, Karoline
2015
Global regularity for a model Navier-Stokes equations on $$\mathbb{R}^3$$. Zbl 1322.35062
Chae, Dongho
2015
Generalized quasi-reversibility method for a backward heat equation with a fractional Laplacian. Zbl 1432.35225
Koba, Hajime; Matsuoka, Hideki
2015
Oscillating spectral multipliers on Riemannian manifolds. Zbl 1321.58016
2015
On asymptotic stability of global solutions in the weak $$L^2$$ space for the two-dimensional Navier-Stokes equations. Zbl 1330.35291
Maekawa, Yasunori
2015
Some stability results on global solutions to the Navier-Stokes equations. Zbl 1321.35135
Gallagher, Isabelle
2015
A symmetry result for strictly convex domains. Zbl 1311.52003
Ramm, Alexander G.
2015
Local minimizers of the Willmore functional. Zbl 1316.53071
Skorzinski, Florian
2015
Steady-state flow of a shear-thinning liquid in an unbounded pipeline system. Zbl 1330.35323
Galdi, Giovanni P.; Grisanti, Carlo R.
2015
Maximal regularity in exponentially weighted Lebesgue spaces of the Stokes operator in unbounded cylinders. Zbl 1321.35140
Ri, Myong-Hwan; Farwig, Reinhard
2015
Strong solutions of the Boussinesq system in exterior domains. Zbl 1321.35164
Komo, Christian
2015
The steady Navier-Stokes problem with the inhomogeneous Navier-type boundary conditions in a 2D multiply-connected bounded domain. Zbl 1321.35139
Neustupa, Jiří
2015
Sharp inequalities for the psi function and harmonic numbers. Zbl 1294.33003
Guo, Bai-Ni; Qi, Feng
2014
Evolution of open elastic curves in $$\mathbb{R}^n$$ subject to fixed length and natural boundary conditions. Zbl 1293.35136
Dall&rsquo;Acqua, Anna; Lin, Chun-Chi; Pozzi, Paola
2014
Hausdorff operator on real Hardy spaces. Zbl 1320.47036
Fan, Dashan; Lin, Xiaoying
2014
Dynamic inequalities of Hardy and Copson type on time scales. Zbl 1300.26022
Saker, Samir H.; O&rsquo;Regan, Donal; Agarwal, Ravi P.
2014
Erratum: “Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers”. Zbl 1354.11020
Qi, Feng; Guo, Bai-Ni
2014
Alternative proofs of a formula for Bernoulli numbers in terms of Stirling numbers. Zbl 1331.11014
Guo, Bai-Ni; Qi, Feng
2014
New Hermite-Hadamard type integral inequalities for GA-convex functions with applications. Zbl 1300.26016
2014
Location of the weighted Fermat-Torricelli point on the $$K$$-plane. II. Zbl 1287.51003
Zachos, Anastasios N.
2014
Vector-valued multiresolution analysis on local fields. Zbl 1302.42045
Abdullah
2014
Pseudo-orthants as a generalisation of orthants. Zbl 1295.42025
Pandey, Jagdish N.
2014
Uniqueness of meromorphic functions sharing three sets – further study. Zbl 1329.30016
Banerjee, Abhijit; Majumder, Sujoy
2014
Estimates for the Hadamard product on Hardy and Bergman spaces. Zbl 1295.30124
Tovstolis, Alexander V.
2014
On $$B^{(m)}$$-difference sequence spaces using generalized means and compact operators. Zbl 1308.46006
Maji, Amit; Srivastava, Parmeshwary Dayal
2014
A plasticity principle of some generalized Gauss trees. Zbl 1303.51001
Zachos, Anastasios N.
2014
On some Zweier $$I$$-convergent double sequence spaces defined by a modulus function. Zbl 1316.46010
Khan, Vakeel A.; Khan, Nazneen; Tabassum, Sabiha; Ebadullah, Khalid; Breaz, Daniel
2014
Radius problems associated with pre-Schwarzian and Schwarzian derivatives. Zbl 1292.30010
Ponnusamy, Saminathan; Sahoo, Swadesh Kumar; Sugawa, Toshiyuki
2014
Entire functions sharing certain values with their derivatives. Zbl 1329.30017
Lahiri, Indrajit; Mukherjee, Rajib
2014
Refinements of the Ostrowski inequality in terms of the cumulative variation and applications. Zbl 1296.26070
Dragomir, Sever S.
2014
An analogue of Leindler’s theorem for hexagonal Fourier series. Zbl 1311.42016
Guven, Ali
2014
Mean value theorems for polyharmonic functions: A conjecture by Picone. Zbl 1290.31008
Caramuta, P.; Cialdea, A.
2014
Convolutions of slanted half-plane harmonic mappings. Zbl 1286.30011
Li, Liulan; Ponnusamy, S.
2013
Tight wavelet frames on local fields. Zbl 1277.42047
Shah, F. A.; Debnath, Lokenath
2013
Hermite-Hadamard type integral inequalities for geometric-arithmetically $$s$$-convex functions. Zbl 1272.26024
Shuang, Ye; Yin, Hong-Ping; Qi, Feng
2013
Multiplications and convolutions in L. Schwartz’ spaces of test functions and distributions and their continuity. Zbl 1318.46026
Larcher, Julian
2013
Hypergeometric summation representations of the Stieltjes constants. Zbl 1284.11118
Coffey, Mark W.
2013
Optimal initial value conditions for local strong solutions of the Navier-Stokes equations in exterior domains. Zbl 1274.76189
Farwig, Reinhard; Komo, Christian
2013
Uniform spacing of zeros of orthogonal polynomials for locally doubling measures. Zbl 1263.42005
Varga, Tamás
2013
On proofs for monotonicity of a function involving the psi and exponential functions. Zbl 1273.33004
Li, Wen-Hui; Qi, Feng; Guo, Bai-Ni
2013
Some Hermite-Hadamard type inequalities for $$\log$$-$$h$$-convex functions. Zbl 1285.26020
Noor, Muhammad Aslam; Qi, Feng; Awan, Muhammad Uzair
2013
On the $$(M,\lambda _{n})$$ method of summability. Zbl 1270.40005
Natarajan, P. N.
2013
Meromorphic functions whose certain differential polynomials share a small function with finite weight. Zbl 1290.30036
Sahoo, Pulak; Seikh, Sajahan
2013
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#### Cited by 1,775 Authors

 34 Šimon Hilscher, Roman 27 Qi, Feng 21 Laurinčikas, Antanas 21 Pauly, Dirk 20 Ponnusamy, Saminathan 15 Musolino, Paolo 15 Šepitka, Peter 14 Shimomura, Tetsu 13 Bultheel, Adhemar François 13 Dalla Riva, Matteo 13 Shah, Firdous Ahmad 12 Lasarow, Andreas 12 Li, Songxiao 11 Angeloni, Laura 11 Goodrich, Christopher S. 11 Nevo, Shahar 11 Zeidan, Vera Michel 10 Chidume, Charles Ejike 10 Nečasová, Šárka 10 Nestoridis, Vassili 10 Vinti, Gianluca 9 Bernal-Gonzàlez, Luis 9 Fan, Dashan 9 Fritzsche, Bernd 9 Fröhlich, Steffen 9 González-Vera, Pablo 9 Grunau, Hans-Christoph 9 Kirstein, Bernd 9 Langenbruch, Michael 9 Mizuta, Yoshihiro 9 Yao, Jen-Chih 9 Yi, Hongxun 8 Cancès, Clément 8 Deuring, Paul 8 Elyseeva, Julia V. 8 Lahiri, Indrajit 8 Mehrez, Khaled 8 Móricz, Ferenc 8 Mu, Chunlai 8 Obradović, Milutin 8 Ohno, Takao 8 Pang, Xuecheng 8 Saker, Samir H. 8 Skalák, Zdeněk 8 Srivastava, Hari Mohan 7 Agarwal, Ravi P. 7 Bergner, Matthias 7 Bhat, Mohammad Younus 7 Choi, Junesang 7 Coffey, Mark William 7 Dall’Acqua, Anna 7 Domański, Pawel Jan 7 Fang, Mingliang 7 Farwig, Reinhard 7 Kračmar, Stanislav 7 Kumar, Ajay 7 Langley, James K. 7 Lu, Feng 7 Njåstad, Olav 7 Wang, Yufeng 7 Yang, Pai 7 Zalcman, Lawrence Allen 6 Al-Refai, Mohammed 6 Begehr, Heinrich 6 Chu, Yuming 6 Guo, Bai-Ni 6 Khan, Vakeel Ahmad 6 Lanza de Cristoforis, Massimo 6 Leonetti, Paolo 6 Lin, Ke 6 Mandel, Rainer 6 Mursaleen, Mohammad 6 Nagoshi, Hirofumi 6 Omari, Pierpaolo 6 Rachůnková, Irena 6 Tsirivas, Nikolaos 6 Vlachou, Vagia 6 Zhu, Xiangling 5 Adamchik, Victor S. 5 Adell, José Antonio 5 Ahmad, Bashir 5 Alzer, Horst 5 Andreianov, Boris 5 Ceng, Lu-Chuan 5 Chen, Jiecheng 5 Corsato, Chiara 5 Duman, Oktay 5 Garcke, Harald 5 Garunkštis, Ramūnas 5 Gazzola, Filippo 5 Hendriksen, Erik 5 Iyer, Sameer 5 Kačinskaitė, Roma 5 Lekuona, Alberto 5 Li, Xiaomin 5 Li, Yuxiang 5 Liflyand, Elijah 5 Lindgren, Erik 5 Liu, Zhihong 5 Luh, Wolfgang ...and 1,675 more Authors
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#### Cited in 355 Journals

 100 Journal of Mathematical Analysis and Applications 47 Journal of Differential Equations 43 Analysis (München) 36 Computational Methods and Function Theory 34 Journal of Computational and Applied Mathematics 33 Complex Variables and Elliptic Equations 32 Applied Mathematics and Computation 31 Journal of Approximation Theory 31 Journal of Inequalities and Applications 30 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Mathematische Nachrichten 23 Proceedings of the American Mathematical Society 20 Calculus of Variations and Partial Differential Equations 19 Applied Mathematics Letters 18 Results in Mathematics 17 Archive for Rational Mechanics and Analysis 16 Journal of Functional Analysis 16 Complex Analysis and Operator Theory 15 Journal of Number Theory 15 Abstract and Applied Analysis 15 Mediterranean Journal of Mathematics 14 Mathematical Methods in the Applied Sciences 13 Rocky Mountain Journal of Mathematics 13 Monatshefte für Mathematik 13 SIAM Journal on Mathematical Analysis 13 Journal of Function Spaces 12 Analysis Mathematica 12 Computers & Mathematics with Applications 12 Acta Mathematica Hungarica 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Archiv der Mathematik 11 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 11 The Ramanujan Journal 11 Acta Mathematica Sinica. English Series 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Advances in Mathematics 10 Mathematical and Computer Modelling 10 The Journal of Geometric Analysis 10 Linear Algebra and its Applications 10 Fixed Point Theory and Applications 9 Lithuanian Mathematical Journal 9 Mathematics of Computation 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Integral Transforms and Special Functions 9 Discrete and Continuous Dynamical Systems. Series S 8 Constructive Approximation 8 The Journal of Analysis 8 Journal of Mathematical Sciences (New York) 8 Journal of Mathematical Fluid Mechanics 7 Manuscripta Mathematica 7 Numerical Functional Analysis and Optimization 7 Zeitschrift für Analysis und ihre Anwendungen 7 Annals of Global Analysis and Geometry 7 Applied Mathematics. Series B (English Edition) 7 Journal of Difference Equations and Applications 7 Discrete and Continuous Dynamical Systems 7 Nonlinear Analysis. Real World Applications 7 Advances in Difference Equations 7 Boundary Value Problems 6 Israel Journal of Mathematics 6 Czechoslovak Mathematical Journal 6 Proceedings of the Japan Academy. Series A 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Fractional Calculus & Applied Analysis 6 Communications on Pure and Applied Analysis 6 Science China. Mathematics 5 Bulletin of the Australian Mathematical Society 5 Communications in Mathematical Physics 5 Journal d’Analyse Mathématique 5 Journal of Mathematical Physics 5 Ukrainian Mathematical Journal 5 International Journal of Mathematics and Mathematical Sciences 5 Integral Equations and Operator Theory 5 Journal of the Mathematical Society of Japan 5 Mathematische Annalen 5 Numerische Mathematik 5 Tohoku Mathematical Journal. Second Series 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Filomat 5 Positivity 5 Computational Geosciences 5 Journal of Evolution Equations 5 Discrete and Continuous Dynamical Systems. Series B 5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 5 Journal of Fixed Point Theory and Applications 5 Advances in Calculus of Variations 5 Tbilisi Mathematical Journal 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Journal of Classical Analysis 5 Journal of Mathematics 4 Nonlinearity 4 Demonstratio Mathematica 4 Functiones et Approximatio. Commentarii Mathematici 4 Journal of Optimization Theory and Applications 4 Mathematische Zeitschrift 4 Transactions of the American Mathematical Society 4 Bulletin of the Korean Mathematical Society 4 European Journal of Applied Mathematics ...and 255 more Journals
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#### Cited in 56 Fields

 484 Partial differential equations (35-XX) 346 Functions of a complex variable (30-XX) 210 Operator theory (47-XX) 165 Real functions (26-XX) 138 Number theory (11-XX) 137 Ordinary differential equations (34-XX) 126 Harmonic analysis on Euclidean spaces (42-XX) 125 Functional analysis (46-XX) 125 Fluid mechanics (76-XX) 106 Approximations and expansions (41-XX) 99 Differential geometry (53-XX) 98 Special functions (33-XX) 98 Numerical analysis (65-XX) 83 Sequences, series, summability (40-XX) 78 Calculus of variations and optimal control; optimization (49-XX) 77 Potential theory (31-XX) 58 Global analysis, analysis on manifolds (58-XX) 51 Difference and functional equations (39-XX) 50 Biology and other natural sciences (92-XX) 44 Several complex variables and analytic spaces (32-XX) 40 Integral equations (45-XX) 39 Dynamical systems and ergodic theory (37-XX) 36 Integral transforms, operational calculus (44-XX) 28 Mechanics of deformable solids (74-XX) 27 Optics, electromagnetic theory (78-XX) 24 Abstract harmonic analysis (43-XX) 23 Probability theory and stochastic processes (60-XX) 22 Combinatorics (05-XX) 18 Systems theory; control (93-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 11 Measure and integration (28-XX) 11 General topology (54-XX) 11 Operations research, mathematical programming (90-XX) 11 Information and communication theory, circuits (94-XX) 9 Quantum theory (81-XX) 8 Topological groups, Lie groups (22-XX) 8 Mechanics of particles and systems (70-XX) 7 Convex and discrete geometry (52-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Astronomy and astrophysics (85-XX) 5 History and biography (01-XX) 4 Mathematical logic and foundations (03-XX) 4 Statistics (62-XX) 4 Relativity and gravitational theory (83-XX) 4 Geophysics (86-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Algebraic geometry (14-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 2 Field theory and polynomials (12-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Computer science (68-XX)