# zbMATH — the first resource for mathematics

## Integral Transforms and Special Functions

### An International Journal

 Short Title: Integral Transforms Spec. Funct. Publisher: Taylor & Francis, Abingdon, Oxfordshire ISSN: 1065-2469; 1476-8291/e Online: http://www.tandfonline.com/loi/gitr20 Comments: Indexed cover-to-cover
 Documents Indexed: 1,703 Publications (since 1993) References Indexed: 1,568 Publications with 24,684 References.
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#### Latest Issues

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#### Authors

 80 Srivastava, Hari Mohan 36 Yakubovich, Semyon B. 28 Brychkov, Yury A. 23 Fisher, Brian 22 Conway, John Thomas 22 Vu Kim Tuan 21 Pilipović, Stevan 20 Kilbas, Anatoliĭ Aleksandrovich 18 Dattoli, Giuseppe 18 Trimèche, Khalifa 17 Kalla, Shyam Lal 17 Moiseev, Evgeniĭ Ivanovich 16 Laurinčikas, Antanas 16 Marcellán Español, Francisco 16 Pogány, Tibor K. 16 Ricci, Paolo Emilio 15 Chu, Wenchang 13 Chung, Soon-Yeong 13 Qi, Feng 13 Saigo, Megumi 12 Chang, Seung Jun 12 Choi, Junesang 12 Chung, Hyun Soo 12 Debnath, Lokenath 12 Mejjaoli, Hatem 11 Kim, Dohan 11 López, José Luis 11 Neuman, Edward 11 Nguyen Xuan Thao 11 Pathak, Ram Shankar 11 Samko, Stefan Grigorievich 10 Chen, Chaoping 10 Saxena, Ram Kishore 10 Soltani, Fethi 10 Stanković, Miomir S. 10 Tričković, Slobodan B. 9 Trione, Susana Elena 8 Area, Iván 8 Duran, Antonio J. 8 Guliyev, Vagif Sabir 8 Khan, Subuhi 8 Kierat, Władysław 8 Masjed-Jamei, Mohammad 8 Mikusiński, Piotr 8 Sofo, Anthony 8 Wang, Xiaoxia 7 Ansari, Alireza 7 Assal, Miloud 7 Atia, Mohamed Jalel 7 Daher, Radouan 7 Dragomir, Sever Silvestru 7 Godoy, Eduardo Paciência 7 González, Benito J. 7 Guo, Victor J. W. 7 Kamiński, Andrzej 7 Kiliçman, Adem 7 Kim, Young Sik 7 Koepf, Wolfram A. 7 Negrin, Emilio R. 7 Nogin, Vladimir Aleksandrovich 7 Paris, Richard Bruce 7 Prasad, Akhilesh 7 Rathie, Arjun Kumar 7 Roopkumar, Rajakumar 7 Skórnik, Krystyna A. 7 Wei, Chuanan 6 Banerji, Pradeep Kumar 6 Ben Salem, Nejib 6 Campos, L. M. B. C. 6 Cesarano, Clemente 6 Fejzullahu, Bujar Xh. 6 Karunakaran, V. 6 Li, Aijuan 6 Maroni, Pascal 6 Nguyen Thanh Hong 6 Qin, Huizeng 6 Savischenko, Nikolay V. 6 Vidanović, Mirjana V. 5 Barry, Paul 5 Bouzeffour, Fethi 5 Buchkovska, Aneta L. 5 Cachafeiro, Alicia 5 Chung, Jaeyoung 5 Doha, Eid H. 5 Fitouhi, Ahmed 5 Gaboury, Sébastien 5 Ghanmi, Allal 5 Glaeske, Hans-Jürgen 5 Guo, Bai-Ni 5 Karp, Dmitriĭ Borisovich 5 Kim, Byoung Soo 5 Kim, Taekyun 5 Lin, Shyder 5 Liu, Shuoh-Jung 5 Luchko, Yurii F. 5 Marrero, Isabel 5 Melnikova, Irina V. 5 Moll, Victor Hugo 5 Nadarajah, Saralees 5 Saad, Nasser ...and 1,345 more Authors
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#### Fields

 852 Special functions (33-XX) 387 Integral transforms, operational calculus (44-XX) 381 Harmonic analysis on Euclidean spaces (42-XX) 336 Functional analysis (46-XX) 218 Real functions (26-XX) 185 Number theory (11-XX) 165 Functions of a complex variable (30-XX) 157 Partial differential equations (35-XX) 129 Operator theory (47-XX) 94 Ordinary differential equations (34-XX) 72 Integral equations (45-XX) 64 Numerical analysis (65-XX) 62 Combinatorics (05-XX) 59 Abstract harmonic analysis (43-XX) 55 Approximations and expansions (41-XX) 52 Probability theory and stochastic processes (60-XX) 39 Sequences, series, summability (40-XX) 36 Measure and integration (28-XX) 35 Potential theory (31-XX) 21 Quantum theory (81-XX) 20 Several complex variables and analytic spaces (32-XX) 20 Information and communication theory, circuits (94-XX) 19 Difference and functional equations (39-XX) 16 Statistics (62-XX) 15 Topological groups, Lie groups (22-XX) 10 Field theory and polynomials (12-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Mechanics of particles and systems (70-XX) 7 General and overarching topics; collections (00-XX) 7 Group theory and generalizations (20-XX) 7 Optics, electromagnetic theory (78-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Geometry (51-XX) 5 Computer science (68-XX) 4 Nonassociative rings and algebras (17-XX) 4 Differential geometry (53-XX) 3 History and biography (01-XX) 3 Algebraic geometry (14-XX) 3 Associative rings and algebras (16-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Biology and other natural sciences (92-XX) 2 Commutative algebra (13-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Category theory; homological algebra (18-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)

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1,204 Publications have been cited 7,587 times in 5,164 Documents Cited by Year
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Generalized Mittag-Leffler function and generalized fractional calculus operators. Zbl 1047.33011
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2004
Integration and differentiation to a variable fractional order. Zbl 0820.26003
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1993
Completely monotonic functions. Zbl 1035.26012
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2001
Certain subclasses of analytic functions associated with the generalized hypergeometric function. Zbl 1040.30003
Dziok, J.; Srivastava, H. M.
2003
Fractional and operational calculus with generalized fractional derivative operators and Mittag-Leffler type functions. Zbl 1213.26011
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2010
Paley-Wiener theorems for the Dunkl transform and Dunkl translation operators. Zbl 1030.44004
Trimèche, Khalifa
2002
Some relationships between the generalized Apostol-Bernoulli polynomials and Hurwitz-Lerch zeta functions. Zbl 1184.11005
Garg, Mridula; Jain, Kumkum; Srivastava, H. M.
2006
An integral operator associated with the Hurwitz-Lerch zeta function and differential subordination. Zbl 1112.30007
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2007
Linear operators associated with $$k$$-uniformly convex functions. Zbl 0959.30007
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2000
Convolution type operators in $$L^{p(x)}$$. Zbl 0934.46032
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1998
Products of differentiation, composition and multiplication from Bergman type spaces to Bers type spaces. Zbl 1119.47035
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2007
Integral transforms connected with discontinuous boundary value problems. Zbl 0989.34015
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Symmetric Laguerre-Hahn forms of class $$s=1$$. Zbl 0865.42021
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The multiplication formulas for the Apostol-Bernoulli and Apostol-Euler polynomials of higher order. Zbl 1237.11009
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Convolution and potential type operators in $$L^{p(x)} (\mathbb{R}^n)$$. Zbl 1023.31009
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1998
Inversion theorems for potential-type integral transforms in $$\mathbb{R}^n$$ and on $$S^{n-1}$$. Zbl 0924.44003
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1993
The Dunkl intertwining operator on spaces of functions and distributions and integral representation of its dual. Zbl 1027.47027
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2001
Computation of the generalized Mittag-Leffler function and its inverse in the complex plane. Zbl 1096.65024
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2006
Some expansion formulas for a class of generalized Hurwitz-Lerch zeta functions. Zbl 1172.11026
Lin, Shy-Der; Srivastava, H. M.; Wang, Pin-Yu
2006
Integral and computational representations of the extended Hurwitz-Lerch zeta function. Zbl 1242.11065
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2011
Integral type operators from mixed-norm spaces to $$\alpha$$-Bloch spaces. Zbl 1131.47031
Li, Songxiao; Stević, Stevo
2007
A generalization of the Hurwitz-Lerch zeta function. Zbl 1145.11068
Choi, Junesang; Jang, Douk Soo; Srivastava, H. M.
2008
Hadamard-type integrals as $$G$$-transforms. Zbl 1043.26004
Kilbas, Anatoly A.; Trujillo, Juan J.
2003
$$P,Q$$-differentiation, $$P,Q$$-integration, and $$P,Q$$-hypergeometric functions related to quantum groups. Zbl 0823.33010
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1994
Multiple orthogonal polynomials associated with Macdonald functions. Zbl 0959.42016
Van Assche, W.; Yakubovich, S. B.
2000
Starlikeness and convexity of generalized Bessel functions. Zbl 1205.30010
Baricz, Árpád; Ponnusamy, Saminathan
2010
On the generalized Mittag-Leffler type functions. Zbl 0935.33012
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1998
On Mittag-Leffler type function, fractional calculus operators and solutions of integral equations. Zbl 0876.26007
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1996
Spherical Faraday cage for the case of equal point charges and Chebyshev- type quadrature on the sphere. Zbl 0823.41026
Korevaar, J.; Meyers, J. L. H.
1993
A weighted and exponential generalization of Wilker’s inequality and its applications. Zbl 1128.26017
Wu, Shan-He; Srivastava, H. M.
2007
The Lagrange polynomials in several variables. Zbl 1057.33003
Chan, W. -Ch. C.; Chyan, Ch. -J.; Srivastava, H. M.
2001
Generalized Fourier-Feynman transforms and a first variation on function space. Zbl 1043.28014
Chang, Seung Jun; Skoug, David
2003
Three classes of logarithmically completely monotonic functions involving gamma and psi functions. Zbl 1144.26013
Qi, Feng
2007
Fractional Fourier transform of generalized functions. Zbl 0941.46021
Zayed, Ahmed I.
1998
A new class of analytic functions defined by means of a convolution operator involving the Hurwitz-Lerch zeta function. Zbl 1130.30003
Răducanu, Dorina; Srivastava, H. M.
2007
Some results on a generalized hypergeometric function. Zbl 1026.33006
Virchenko, N.; Kalla, S. L.; Al-Zamel, A.
2001
On a mean value property associated with the Dunkl Laplacian operator and applications. Zbl 1027.47026
Mejjaoli, H.; Trimèche, K.
2001
Generalizations of classical summation theorems for the series $$_{2} F_{1}$$ and $$_{3} F_{2}$$ with applications. Zbl 1241.33006
Rakha, Medhat A.; Rathie, Arjun K.
2011
Some families of Genocchi type polynomials and their interpolation functions. Zbl 1253.05021
Srivastava, H. M.; Kurt, Burak; Simsek, Yilmaz
2012
Some properties of functions related to the gamma and psi functions. Zbl 1188.33003
Chen, Chao-Ping; Qi, Feng; Srivastava, H. M.
2010
Three finite classes of hypergeometric orthogonal polynomials and their application in functions approximation. Zbl 1017.33005
2002
Subordinations for multivalent analytic functions associated with the Dziok-Srivastava operator. Zbl 1170.30006
Srivastava, H. M.; Yang, Ding-Gong; Xu, N-Eng
2009
Harmonic number identities via hypergeometric series and Bell polynomials. Zbl 1269.33006
Liu, Hongmei; Wang, Weiping
2012
The incomplete Pochhammer symbols and their applications to hypergeometric and related functions. Zbl 1254.33004
Srivastava, H. M.; Chaudhry, M. Aslam; Agarwal, Ravi P.
2012
An invariant $$p$$-adic integral associated with Daehee numbers. Zbl 1016.11008
Kim, Taekyun
2002
$$p$$-adic $$q$$-integrals associated with the Changhee-Barnes’ $$q$$-Bernoulli polynomials. Zbl 1135.11340
Kim, Taekyun
2004
The relation between variable Bessel potential spaces and Triebel–Lizorkin spaces. Zbl 1160.46024
Xu, J. S.
2008
Dunkl-Appell $$d$$-orthogonal polynomials. Zbl 1137.42005
Ben Cheikh, Y.; Gaied, M.
2007
On pointwise convergence of linear integral operators with homogeneous kernels. Zbl 1156.41006
Bardaro, Carlo; Vinti, Gianluca; Karsli, Harun
2008
Generalized fractional integration of Bessel function of the first kind. Zbl 1156.26004
Kilbas, Anatoly A.; Sebastian, Nicy
2008
A unified presentation of some families of multivariable polynomials. Zbl 1098.33016
Erkuş, Esra; Srivastava, H. M.
2006
A further refinement of Wilker’s inequality. Zbl 1176.11008
Wu, Shan-He; Srivastava, H. M.
2008
Classical orthogonal polynomials with weight function $$((ax+b)^2+(cx+d)^2)^{-p}\exp(q\text{\,Arctg}((ax+b)/(cs+d)))$$, $$x\in(-\infty,\infty)$$ and a generalization of $$T$$ and $$F$$ distributions. Zbl 1055.33009
2004
Differential sandwich theorems for certain subclasses of analytic functions involving multiplier transformations. Zbl 1104.30015
Shanmugam, T. N.; Sivasubramanian, S.; Srivastava, H. M.
2006
A new integral transform and associated distributions. Zbl 1191.35017
Eltayeb, Hassan; Kılıçman, Adem; Fisher, Brian
2010
A self-contained approach to Mellin transform analysis for square integrable functions. Applications. Zbl 0961.44005
Butzer, Paul L.; Jansche, Stefan
1999
Operational formulae for the complex Hermite polynomials $$H_{p,q}(z,\bar{z})$$. Zbl 1284.33007
Ghanmi, Allal
2013
Integral representations in complex, hypercomplex and Clifford analysis. Zbl 1054.30047
Begehr, Heinrich
2002
On Mittag-Leffler type function and applications. Zbl 0933.26001
Saigo, Megumi; Kilbas, Anatoly A.
1998
A class of nonlinear integral operators preserving subordination and superordination. Zbl 1109.30022
Cho, Nak Eun; Srivastava, H. M.
2007
Karlsson-Minton summation theorems for the generalized hypergeometric series of unit argument. Zbl 1200.33007
Miller, Allen R.; Srivastava, H. M.
2010
Some inclusion properties for certain subclasses of strongly starlike and strongly convex functions involving a family of fractional integral operators. Zbl 1142.26005
Prajapat, J. K.; Raina, R. K.; Srivastava, H. M.
2007
Waves in viscoelastic media described by a linear fractional model. Zbl 1225.26009
Konjik, Sanja; Oparnica, Ljubica; Zorica, Dusan
2011
Integral representation of Mathieu $$(a,\lambda)$$-series. Zbl 1101.26018
Pogány, Tibor K.
2005
On some operators involving Hadamard derivatives. Zbl 1282.33032
Garra, Roberto; Polito, Federico
2013
Orthogonal polynomials and generalized oscillator algebras. Zbl 1026.33007
Borzov, V. V.
2001
One- and two-sided inequalities for Jacobian elliptic functions and related results. Zbl 1193.33234
Neuman, Edward
2010
Hölder mean inequalities for the complete elliptic integrals. Zbl 1258.33011
Chu, Yu-Ming; Qiu, Ye-Fang; Wang, Miao-Kun
2012
Two logarithmically completely monotonic functions connected with gamma function. Zbl 1093.33001
Qi, Feng; Yang, Qiao; Li, Wei
2006
Multivariate analogue of generalized Mittag-Leffler function. Zbl 1275.33030
Saxena, R. K.; Kalla, S. L.; Saxena, Ravi
2011
Some subclasses of analytic and spiral-like functions of complex order involving the Srivastava-Attiya integral operator. Zbl 1206.30028
Noor, Khalida Inayat; Bukhari, Syed Zakar Hussain
2010
On some formulas for the Appell function $$F_{2}(a, b, b^\prime; c, c^\prime; w; z)$$. Zbl 1282.33020
2014
Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials. Zbl 1314.42027
Durán, Antonio J.
2015
Hankel-type integral transforms and their fractionalization: a note. Zbl 1145.44002
Torre, A.
2008
On the solution of some distributional differential equations: Existence and characterizations of the classical moment functionals. Zbl 0832.33006
Marcellán, F.; Petronilho, J.
1994
Some families of ordinary and partial fractional differintegral equations. Zbl 1031.34003
Tu, Shih-Tong; Chyan, Ding-Kuo; Srivastava, H. M.
2001
Some remarks on functoriality of Colombeau’s construction; topological and micrological aspects and applications. Zbl 0920.46034
Scarpalézos, D.
1998
A class of self-similar stochastic processes with stationary increments to model anomalous diffusion in physics. Zbl 1173.26005
Mura, Antonio; Mainardi, Francesco
2009
Some formulas for the Appell function $$F_1(a,b,b';c;w,z)$$. Zbl 1257.33028
2012
Time-frequency concentration of the windowed Hankel transform. Zbl 1293.42005
Ghobber, Saifallah; Omri, Slim
2014
Some congruences related to a congruence of Van Hamme. Zbl 1434.11054
Guo, Victor J. W.; Liu, Ji-Cai
2020
Some generalizations of a supercongruence of van Hamme. Zbl 1379.33013
Guo, Victor J. W.
2017
A general form of Heisenberg-Pauli-Weyl uncertainty inequality for the Dunkl transform. Zbl 1270.42011
Soltani, Fethi
2013
Nonlinear stochastic wave equations. Zbl 0912.60072
Oberguggenberger, M.; Russo, F.
1998
Further results on a generalized gamma function occurring in diffraction theory. Zbl 0922.33001
Al-Musallam, F.; Kalla, S. L.
1998
Logarithmically completely monotonic functions concerning gamma and digamma functions. Zbl 1120.33003
Qi, Feng; Chen, Shou-Xin; Cheung, Wing-Sum
2007
Completely monotone functions and some classes of fractional evolution equations. Zbl 1332.26011
Bazhlekova, Emilia
2015
Upper bound on $$\sqrt x J_{\nu }(x)$$ and its applications. Zbl 1105.33007
Olenko, A. Ya.
2006
Universality of the periodic Hurwitz zeta-function. Zbl 1106.11035
Javtokas, A.; Laurinčikas, A.
2006
The discrete universality of the periodic Hurwitz zeta function. Zbl 1245.11099
Laurinčikas, A.; Macaitienė, R.
2009
Remarks on nonlinear operations on modulation spaces. Zbl 1221.44007
Sugimoto, Mitsuru; Tomita, Naohito; Wang, Baoxiang
2011
Harmonic numbers and double binomial coefficients. Zbl 1242.11014
Sofo, Anthony
2009
A Lagrangian method for deriving new indefinite integrals of special functions. Zbl 1372.70046
Conway, John T.
2015
Some refined families of Jordan-type inequalities and their applications. Zbl 1147.26017
Wu, Shan-He; Srivastava, H. M.; Debnath, Lokenath
2008
Inverse problems for impulsive Sturm-Liouville operator with spectral parameter linearly contained in boundary conditions. Zbl 1181.34019
Amirov, R. Kh.; Ozkan, A. S.; Keskin, B.
2009
Polynomial solutions of hypergeometric type difference equations and their classification. Zbl 1023.33002
Nikiforov, Arnold F.; Uvarov, Vasily B.
1993
Transmutation operators associated with a Dunkl type differential-difference operator on the real line and certain of their applications. Zbl 1048.34139
Mourou, Mohamed Ali
2001
On the connection coefficients and recurrence relations arising from expansions in series of Hermite polynomials. Zbl 1040.42020
Doha, E. H.
2004
Uncertainty principles for the Hankel transform. Zbl 1122.44003
Tuan, Vu Kim
2007
Uncertainty principles in linear canonical domains. Zbl 1462.42009
Lian, Pan
2021
Some congruences related to a congruence of Van Hamme. Zbl 1434.11054
Guo, Victor J. W.; Liu, Ji-Cai
2020
Uncertainty principles for the continuous shearlet transforms in arbitrary space dimensions. Zbl 1451.42015
Bahri, Mawardi; Shah, Firdous A.; Tantary, Azhar Y.
2020
Some remarks on Boas transforms of wavelets. Zbl 1431.42061
Khanna, Nikhil; Kaushik, S. K.; Jarrah, A. M.
2020
$$k$$-Hankel two-wavelet theory and localization operators. Zbl 1457.44001
Mejjaoli, Hatem; Trimèche, Khalifa
2020
Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group. Zbl 1442.45010
Ruzhansky, M.; Tokmagambetov, N.; Torebek, B. T.
2020
Indefinite integrals of special functions from integrating factors. Zbl 1450.34004
Conway, John T.
2020
Macdonald’s identities and integral representations of products of Airy functions. Zbl 1448.33006
Ansari, Alireza; Eshaghi, Shiva
2020
Analytic continuation of the Horn hypergeometric series with an arbitrary number of variables. Zbl 1466.33007
Bezrodnykh, S. I.
2020
On some formulas for the Horn functions $$G_1(a,b,b';w,z)$$ and $$\Gamma_2(b,b';w,z)$$. Zbl 1466.33009
Brychkov, Yu. A.; Savischenko, N. V.
2020
On spherical analogues of the classical theorems of Titchmarsh. Zbl 07347183
2020
Multilinear Hausdorff operator on variable exponent Morrey-Herz type spaces. Zbl 1427.42025
Chuong, Nguyen Minh; Duong, Dao Van; Dung, Kieu Huu
2020
Asymptotics for recurrence coefficients of $$X_1$$-Jacobi exceptional polynomials and Christoffel function. Zbl 1439.33004
Horváth, Á. P.
2020
Bispectral Laguerre type polynomials. Zbl 1431.42046
Durán, Antonio J.; de la Iglesia, Manuel D.
2020
Multidimensional fractional Fourier transform and generalized fractional convolution. Zbl 1431.42010
Kamalakkannan, R.; Roopkumar, R.
2020
Discussion on the Leibniz rule and Laplace transform of fractional derivatives using series representation. Zbl 1436.26008
Wei, Yiheng; Liu, Da-Yan; Tse, Peter W.; Wang, Yong
2020
A multidimensional Tauberian theorem for Laplace transforms of ultradistributions. Zbl 1464.46048
Neyt, Lenny; Vindas, Jasson
2020
Hadamard-type fractional differential equations for the system of integral inequalities on time scales. Zbl 07183038
Khan, Zareen A.
2020
Supercongruences for sums involving rising factorial $$\left(\frac{1}{\ell}\right)^3_k$$. Zbl 1439.11012
Jana, Arijit; Kalita, Gautam
2019
On the Wright hypergeometric matrix functions and their fractional calculus. Zbl 1405.15009
Bakhet, Ahmed; Jiao, Yong; He, Fuli
2019
Radial multipliers in solutions of the Helmholtz equations. Zbl 1407.35071
Lurie, S.; Volkov-Bogorodskiy, D.; Moiseev, E.; Kholomeeva, A.
2019
Summability on Mellin-type nonlinear integral operators. Zbl 1436.41013
Aslan, Ismail; Duman, Oktay
2019
Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups. Zbl 1416.22012
Kassymov, Aidyn; Ruzhansky, Michael; Suragan, Durvudkhan
2019
Fourier-Jacobi harmonic analysis and some problems of approximation of functions on the half-axis in $$L_2$$ metric: Jackson’s type direct theorems. Zbl 1407.33015
Platonov, S. S.
2019
Subordination principle for space-time fractional evolution equations and some applications. Zbl 1411.35269
Bazhlekova, Emilia
2019
Characterizations for the fractional maximal commutator operator in generalized Morrey spaces on Carnot group. Zbl 1412.42049
Guliyev, Vagif; Ekincioglu, Ismail; Kaya, Esra; Safarov, Zaman
2019
The Dunkl-Hausdorff operator is bounded on the real Hardy space $$H^1_\alpha (\mathbb{R})$$. Zbl 07111878
2019
Wavelet packet approximation theorem for $$H^r$$ type norm. Zbl 1408.42029
Khanna, Nikhil; Kaushik, S. K.
2019
Uncertainty principle for the two-sided quaternion windowed Fourier transform. Zbl 1444.42011
Kamel, Brahim; Tefjeni, Emna
2019
Non-trivial 1d and 2d Segal-Bargmann transforms. Zbl 1409.44001
2019
Generalized Arakawa-Kaneko zeta functions. Zbl 1439.11226
Chen, Kwang-Wu
2019
General order Euler sums with rational argument. Zbl 1439.11213
Sofo, Anthony
2019
Regularity of the solution to Riesz-type fractional differential equation. Zbl 1431.34008
Cai, Min; Li, Changpin
2019
Boundedness of commutators of fractional integral operators on mixed Morrey spaces. Zbl 1422.42029
Nogayama, Toru
2019
The Cauchy-Schlömilch transformation. Zbl 1458.33004
Amdeberhan, T.; Glasser, M. L.; Jones, M. C.; Moll, V.; Posey, R.; Varela, D.
2019
Equivalence of $$K$$-functionals and modulus of smoothness constructed by generalized Jacobi transform. Zbl 1457.33003
2019
The representation of Euler sums with parameters. Zbl 1439.11207
Li, Aijuan; Qin, Huizeng
2019
Recurrence relations and determinant forms for general polynomial sequences. Application to Genocchi polynomials. Zbl 1433.11007
Costabile, Francesco A.; Gualtieri, Maria Italia; Napoli, Anna
2019
Bispectrality of Charlier type polynomials. Zbl 1416.42033
Durán, Antonio J.
2019
Indefinite integrals of special functions from inhomogeneous differential equations. Zbl 1405.33003
Conway, John T.
2019
Applications to give an analytical solution to the Black Scholes equation. Zbl 1412.35336
Südland, N.; Volkmann, J.; Kumar, D.
2019
Generalized harmonic numbers, Jacobi numbers and a Hankel determinant evaluation. Zbl 1439.11080
Chammam, Wathek
2019
Green’s function of two-dimensional time-fractional diffusion equation using addition formula of Wright function. Zbl 1408.26006
Ansari, Alireza
2019
Multilinear integral operators on $$L^p$$ spaces with variable exponent. Zbl 1440.42049
Chen, Dazhao
2019
Certain unified polynomials. Zbl 1402.33003
Choi, Junesang; Khan, Nabiullah; Usman, Talha; Aman, Mohd
2019
Isolated and essentially isolated Volterra-type integral operators on generalized Fock spaces. Zbl 06987737
Mengestie, Tesfa; Worku, Mafuz
2019
Hausdorff operators on Sobolev spaces $$W^{k,1}$$. Zbl 06994524
Zhao, Guoping; Guo, Weichao
2019
A sequence of remarkable Poincaré inequalities for Dunkl operators. Zbl 1404.60112
Maslouhi, Mostafa; Bentaleb, A.; Elhassani, M. E.
2019
On the higher-order differential equations for the generalized Laguerre polynomials and Bessel functions. Zbl 1408.33026
Markett, Clemens
2019
A convolution family in the Dimovski sense for the composed Erdélyi-Kober fractional integrals. Zbl 1408.26005
Al-Kandari, M.; Hanna, L. A.-M.; Luchko, Yu. F.
2019
Hypergeometric solutions for Coulomb self-energy model of uniformly charged hollow cylinder. Zbl 1408.33011
Batle, Josep; Ciftja, Orion; Pogány, Tibor K.
2019
Dihedral evaluations of hypergeometric functions with the Kleinian projective monodromy. Zbl 1407.33010
Vidunas, Raimundas
2019
Fourier series of Jacobi-Sobolev polynomials. Zbl 1407.42002
Ciaurri, Óscar; Mínguez Ceniceros, Judit
2019
Positive definite matrix functions on spheres defined by hypergeometric functions. Zbl 1428.33010
Guella, J. C.; Menegatto, V. A.
2019
A note on the asymptotic expansion of the Lerch’s transcendent. Zbl 1439.11225
Cai, Xing Shi; López, José L.
2019
Ramanujan-type formulae for $$1/\pi: q$$-analogues. Zbl 1436.11024
Guo, Victor J. W.; Zudilin, Wadim
2018
Newton diagram of positivity for $$_1F_2$$ generalized hypergeometric functions. Zbl 1391.33017
Cho, Yong-Kum; Yun, Hera
2018
Two-dimensional fractional Fourier transform and some of its properties. Zbl 1393.42011
Zayed, Ahmed
2018
Airy functions and Riesz fractional trigonometric operators. Zbl 1393.33005
2018
New special function recurrences giving new indefinite integrals. Zbl 1396.33008
Conway, John T.
2018
Extensions of Karlsson-Minton summation theorem and some consequences of the first Miller-Paris transformation. Zbl 1402.33008
Karp, D. B.; Prilepkina, E. G.
2018
Analytic continuation of the Lauricella function $$F^{(N)}_D$$ with arbitrary number of variables. Zbl 1384.33026
Bezrodnykh, S. I.
2018
On integral representations and asymptotics of some hypergeometric functions in two variables. Zbl 1384.33029
Wald, Sascha; Henkel, Malte
2018
The Ahlfors-Beurling transform on Morrey spaces with variable exponents. Zbl 1388.42041
Ho, Kwok-Pun
2018
A note on asymptotic behaviour of Mittag-Leffler functions. Zbl 1384.33036
Wang, JinRong; Zhou, Yong; O&rsquo;Regan, D.
2018
Indefinite integrals of quotients of Gauss hypergeometric functions. Zbl 1387.33008
Conway, John T.
2018
Exotic multiplicity functions and heat maximal operators in certain Dunkl settings. Zbl 1397.42017
Arenas, Alberto; Labarga, Edgar; Nowak, Adam
2018
Sharp bounds for the Lambert $$W$$ function. Zbl 06987728
Alzahrani, Faris; Salem, Ahmed
2018
Integral form of le Roy-type hypergeometric function. Zbl 1391.33031
Pogány, Tibor K.
2018
Heisenberg’s and Hardy’s uncertainty principles in real Clifford algebras. Zbl 1457.43002
Rim, Jday
2018
A nonterminating $$_7F_6$$-series evaluation. Zbl 1396.33016
Wang, Chenying; Dai, Jingjing; Mezo, István
2018
Integral representation of solutions of fractional system with distributed delays. Zbl 1397.34134
Boyadzhiev, D.; Kiskinov, H.; Zahariev, A.
2018
The convolution for zero-order Mehler-Fock transform and pseudo-differential operator. Zbl 1390.44007
Prasad, Akhilesh; Verma, S. K.; Mandal, U. K.
2018
Non-terminating $$_3F_2$$-series with unit argument. Zbl 1391.33021
2018
Monotonicity properties and functional inequalities for the Volterra and incomplete Volterra functions. Zbl 1446.33009
Mehrez, Khaled; Sitnik, Sergei M.
2018
Potential operators and their commutators acting between variable Lebesgue spaces with different weights. Zbl 1400.42031
2018
New indefinite integrals of Heun functions. Zbl 1396.33040
Batic, Davide; Forrest, O.; Nowakowski, M.
2018
The $$A$$-integral and restricted Ahlfors-Beurling transform. Zbl 1395.44011
Aliev, Rashid A.; Nebiyeva, Khanim I.
2018
New indefinite integrals from a method using Riccati equations. Zbl 1402.33005
Conway, John T.
2018
Fock-type spaces associated to higher-order Bessel operator. Zbl 1393.30042
Soltani, Fethi
2018
Zeta functions interpolating the convolution of the Bernoulli polynomials. Zbl 1440.11024
2018
On difference operators for symmetric Krall-Hahn polynomials. Zbl 1396.33022
Durán, Antonio J.; de la Iglesia, Manuel D.
2018
Identities involving Bernoulli and Euler polynomials. Zbl 1390.11047
Alzer, Horst; Yakubovich, Semyon
2018
Cubic decomposition of a family of semiclassical orthogonal polynomials of class two. Zbl 1384.33024
Tounsi, Mohamed Ihsen; Saka, Amel
2018
Berezin symbols on the unit sphere of $$\mathbb C^n$$. Zbl 1384.33016
Díaz-Ortíz, Erik Ignacio
2018
On a class of polynomial sets generated by $$F(xt-R(t))$$. Zbl 1390.12002
Mesk, Mohammed; Zahaf, Mohammed Brahim
2018
A generating function and formulae defining the first-associated Meixner-Pollaczek polynomials. Zbl 1384.33018
Ahbli, Khalid; Mouayn, Zouhaïr
2018
The inverse Gudermannian in the hyperbolic geometry. Zbl 1388.51007
Romakina, L. N.
2018
Weinstein multipliers of Laplace transform type. Zbl 1392.42015
Nefzi, Walid
2018
Generalized Abel type integral equations with localized fractional integrals and derivatives. Zbl 1392.45008
Grinko, A. P.
2018
On derivatives of hypergeometric functions and classical polynomials with respect to parameters. Zbl 1400.33013
Sofotasios, P. C.; Brychkov, Yu. A.
2018
Discrete-time Fourier cosine convolution. Zbl 1400.44007
Thao, N. X.; Tuan, V. K.; Dai, N. A.
2018
Formulas for the Riemann zeta-function and certain Dirichlet series. Zbl 1439.11212
Panzone, Pablo Andrés
2018
Some generalizations of a supercongruence of van Hamme. Zbl 1379.33013
Guo, Victor J. W.
2017
Functional inequalities for the Wright functions. Zbl 1364.33010
Mehrez, Khaled
2017
Closed formulae for a class of terminating $$_3F_2(4)$$-series. Zbl 1379.33012
Chen, Xiaojing; Chu, Wenchang
2017
Strict positive definiteness on products of compact two-point homogeneous spaces. Zbl 1361.42027
Barbosa, V. S.; Menegatto, V. A.
2017
On some formulas for the Appell function $$F_4(a,b;c,c';w,z)$$. Zbl 1376.33004
2017
Reduction formulas for the Appell and Humbert functions. Zbl 1365.33014
Brychkov, Yu. A.
2017
Hypergeometric approach to Apéry-like series. Zbl 1400.11124
Chu, Wenchang
2017
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#### Cited by 4,175 Authors

 187 Srivastava, Hari Mohan 55 Qi, Feng 54 Mejjaoli, Hatem 45 Choi, Junesang 44 Masjed-Jamei, Mohammad 43 Prasad, Akhilesh 41 Marcellán Español, Francisco 40 Chang, Seung Jun 40 Pogány, Tibor K. 38 Aouf, Mohamed Kamal 38 Simsek, Yilmaz 37 Kiliçman, Adem 35 Kim, Taekyun 35 Samko, Stefan Grigorievich 34 Yakubovich, Semyon B. 33 Băleanu, Dumitru I. 33 Khan, Subuhi 32 Laurinčikas, Antanas 31 Darus, Maslina 31 Pilipović, Stevan 30 Area, Iván 29 Baricz, Árpád 29 Chen, Chaoping 29 Guo, Bai-Ni 29 Saxena, Ram Kishore 29 Stević, Stevo 28 Choi, Jae Gil 27 Ahmad, Bashir 27 Ntouyas, Sotiris K. 27 Sofo, Anthony 27 Trimèche, Khalifa 26 Koepf, Wolfram A. 25 Kim, Dae San 25 Rathie, Arjun Kumar 24 Chu, Wenchang 24 Chu, Yuming 24 Daher, Radouan 23 Dattoli, Giuseppe 22 Kalla, Shyam Lal 22 Liu, Jinlin 21 Al-Omari, Shrideh Khalaf Qasem 21 Ansari, Alireza 21 Gaboury, Sébastien 21 Godoy, Eduardo Paciência 21 Tomovski, Živorad 21 Vu Kim Tuan 20 Shah, Firdous Ahmad 20 Vinti, Gianluca 20 Yang, Zhenhang 19 Abdeljawad, Thabet 19 Araci, Serkan 19 Brychkov, Yury A. 19 Cho, Nak Eun 19 Chung, Hyun Soo 19 Conway, John Thomas 19 Dragomir, Sever Silvestru 19 Luo, Qiuming 19 Mehrez, Khaled 19 Meskhi, Alexander 19 Murugusundaramoorthy, Gangadharan 19 Ozarslan, Mehmet Ali 19 Roopkumar, Rajakumar 19 Yang, Chuanfu 18 Álvarez-Nodarse, Renato 18 Karp, Dmitriĭ Borisovich 18 Lin, Shyder 18 Parmar, Rakesh Kumar 18 Raina, Ravinder Krishna 18 Sokół, Janusz 18 Soltani, Fethi 17 Dai, Guowei 17 Guliyev, Vagif Sabir 17 Kilbas, Anatoliĭ Aleksandrovich 17 Yurko, Vjacheslav Anatoljevich 16 Agarwal, Praveen 16 Benchohra, Mouffak 16 Doha, Eid H. 16 Kokilashvili, Vakhtang Mikhailovich 16 Neuman, Edward 16 Sooppy Nisar, Kottakkaran 16 Wei, Chuanan 15 Acikgoz, Mehmet 15 El-Ashwah, Rabha Mohamed 15 Fan, Xianling 15 Ghanim, Firas 15 Guo, Senlin 15 Guo, Victor J. W. 15 Mainardi, Francesco 15 Nieto Roig, Juan Jose 15 Paris, Richard Bruce 15 Ricci, Paolo Emilio 14 Abd-Elhameed, Waleed Mohamed 14 Ben Cheikh, Youssèf 14 Chen, Yangquan 14 Costarelli, Danilo 14 Ibrahim, Rabha Waell 14 Liu, Fawang 14 Mostafa, Adela Osman 14 Nguyen Xuan Thao 14 Sghaier, Mabrouk ...and 4,075 more Authors
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#### Cited in 524 Journals

 633 Integral Transforms and Special Functions 256 Applied Mathematics and Computation 250 Journal of Mathematical Analysis and Applications 130 Journal of Computational and Applied Mathematics 113 Journal of Inequalities and Applications 103 Advances in Difference Equations 100 Abstract and Applied Analysis 90 Fractional Calculus & Applied Analysis 79 Computers & Mathematics with Applications 67 Mediterranean Journal of Mathematics 61 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 59 The Ramanujan Journal 53 Results in Mathematics 52 Journal of Pseudo-Differential Operators and Applications 51 Journal of Mathematical Physics 45 Proceedings of the American Mathematical Society 43 Complex Analysis and Operator Theory 41 Applicable Analysis 41 Journal of Approximation Theory 41 Journal of Difference Equations and Applications 39 Complex Variables and Elliptic Equations 38 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 36 Applied Mathematics Letters 36 Advances in Applied Clifford Algebras 35 Asian-European Journal of Mathematics 32 Journal of Mathematical Sciences (New York) 32 Communications of the Korean Mathematical Society 30 Journal of Function Spaces 29 Mathematical Notes 29 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 29 Journal of Mathematics 28 Rocky Mountain Journal of Mathematics 28 Journal of Number Theory 28 Afrika Matematika 27 Mathematical Methods in the Applied Sciences 27 Mathematische Nachrichten 27 Transactions of the American Mathematical Society 27 Analysis and Mathematical Physics 25 Boundary Value Problems 24 Turkish Journal of Mathematics 24 Mathematical Problems in Engineering 23 International Journal of Mathematics and Mathematical Sciences 23 Monatshefte für Mathematik 23 Lobachevskii Journal of Mathematics 22 Journal of Functional Analysis 22 Mathematical and Computer Modelling 21 Ukrainian Mathematical Journal 21 Georgian Mathematical Journal 20 Mathematical Inequalities & Applications 20 International Journal of Applied and Computational Mathematics 19 Chaos, Solitons and Fractals 19 Russian Journal of Mathematical Physics 19 Axioms 18 Tbilisi Mathematical Journal 18 Symmetry 17 Indian Journal of Pure & Applied Mathematics 17 Theoretical and Mathematical Physics 17 Acta Applicandae Mathematicae 17 Numerical Algorithms 17 The Journal of Fourier Analysis and Applications 17 Journal of Function Spaces and Applications 17 Journal of Mathematical Inequalities 17 Journal of Nonlinear Science and Applications 17 Journal of Classical Analysis 16 Communications in Nonlinear Science and Numerical Simulation 16 International Journal of Wavelets, Multiresolution and Information Processing 16 International Journal of Number Theory 15 Advances in Applied Mathematics 15 Indagationes Mathematicae. New Series 15 Computational and Applied Mathematics 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 15 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 15 Korean Journal of Mathematics 14 Journal of Differential Equations 14 Nonlinear Dynamics 14 Boletim da Sociedade Paranaense de Matemática. Terceira Série 13 Bulletin of the Australian Mathematical Society 13 Mathematics of Computation 13 Kyungpook Mathematical Journal 13 Constructive Approximation 13 Journal of Integral Equations and Applications 13 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 13 Linear Algebra and its Applications 13 The Journal of Analysis 13 Filomat 13 Boletín de la Sociedad Matemática Mexicana. Third Series 13 Analysis and Applications (Singapore) 13 Banach Journal of Mathematical Analysis 13 Advances in Pure and Applied Mathematics 12 Analysis Mathematica 12 Reports on Mathematical Physics 12 Applied Numerical Mathematics 12 Applied and Computational Harmonic Analysis 12 Doklady Mathematics 12 Journal of Applied Mathematics 12 Mathematics 11 Quaestiones Mathematicae 11 Journal of Symbolic Computation 11 Acta Mathematica Sinica. English Series 10 Lithuanian Mathematical Journal ...and 424 more Journals
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#### Cited in 62 Fields

 1,827 Special functions (33-XX) 921 Harmonic analysis on Euclidean spaces (42-XX) 835 Real functions (26-XX) 684 Functions of a complex variable (30-XX) 642 Number theory (11-XX) 640 Functional analysis (46-XX) 579 Partial differential equations (35-XX) 550 Integral transforms, operational calculus (44-XX) 537 Ordinary differential equations (34-XX) 490 Operator theory (47-XX) 349 Numerical analysis (65-XX) 279 Combinatorics (05-XX) 255 Approximations and expansions (41-XX) 219 Probability theory and stochastic processes (60-XX) 183 Integral equations (45-XX) 140 Abstract harmonic analysis (43-XX) 105 Quantum theory (81-XX) 91 Difference and functional equations (39-XX) 84 Measure and integration (28-XX) 80 Potential theory (31-XX) 78 Information and communication theory, circuits (94-XX) 77 Statistics (62-XX) 70 Sequences, series, summability (40-XX) 59 Linear and multilinear algebra; matrix theory (15-XX) 51 Several complex variables and analytic spaces (32-XX) 44 Mechanics of deformable solids (74-XX) 42 Statistical mechanics, structure of matter (82-XX) 39 Systems theory; control (93-XX) 36 Topological groups, Lie groups (22-XX) 32 Computer science (68-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 27 Nonassociative rings and algebras (17-XX) 27 Dynamical systems and ergodic theory (37-XX) 27 Global analysis, analysis on manifolds (58-XX) 27 Fluid mechanics (76-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Biology and other natural sciences (92-XX) 19 Mechanics of particles and systems (70-XX) 18 Optics, electromagnetic theory (78-XX) 17 Differential geometry (53-XX) 15 Field theory and polynomials (12-XX) 12 Associative rings and algebras (16-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Relativity and gravitational theory (83-XX) 10 Geometry (51-XX) 10 Convex and discrete geometry (52-XX) 10 General topology (54-XX) 7 Commutative algebra (13-XX) 7 Group theory and generalizations (20-XX) 7 Geophysics (86-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 5 Mathematical logic and foundations (03-XX) 5 Algebraic geometry (14-XX) 5 Astronomy and astrophysics (85-XX) 4 Operations research, mathematical programming (90-XX) 3 Mathematics education (97-XX) 2 Category theory; homological algebra (18-XX) 2 Algebraic topology (55-XX) 1 General algebraic systems (08-XX) 1 $$K$$-theory (19-XX) 1 Manifolds and cell complexes (57-XX)