Chou, Tom; Shao, Sihong; Xia, Mingtao Adaptive Hermite spectral methods in unbounded domains. (English) Zbl 1500.65083 Appl. Numer. Math. 183, 201-220 (2023). MSC: 65M70 65M50 65D32 65M15 41A58 33C45 35P05 PDFBibTeX XMLCite \textit{T. Chou} et al., Appl. Numer. Math. 183, 201--220 (2023; Zbl 1500.65083) Full Text: DOI arXiv
Zhu, Wen-Hui; Liu, Fei-Yan; Liu, Jian-Guo Nonlinear dynamics for different nonautonomous wave structures solutions of a (4+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics. (English) Zbl 1519.35267 Nonlinear Dyn. 108, No. 4, 4171-4180 (2022). MSC: 35Q51 35G99 33F10 PDFBibTeX XMLCite \textit{W.-H. Zhu} et al., Nonlinear Dyn. 108, No. 4, 4171--4180 (2022; Zbl 1519.35267) Full Text: DOI
Al-Refai, Mohammed; Luchko, Yuri Comparison principles for solutions to the fractional differential inequalities with the general fractional derivatives and their applications. (English) Zbl 1505.34007 J. Differ. Equations 319, 312-324 (2022). Reviewer: Svetlin Georgiev (Sofia) MSC: 34A08 34A40 34C10 26A33 33E12 45K05 PDFBibTeX XMLCite \textit{M. Al-Refai} and \textit{Y. Luchko}, J. Differ. Equations 319, 312--324 (2022; Zbl 1505.34007) Full Text: DOI
Shimomura, Shun On a general singular solution of the fifth Painlevé equation along the positive real axis. (English) Zbl 1500.34076 Comput. Methods Funct. Theory 21, No. 4, 633-651 (2021). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M55 33E17 34M25 34M30 PDFBibTeX XMLCite \textit{S. Shimomura}, Comput. Methods Funct. Theory 21, No. 4, 633--651 (2021; Zbl 1500.34076) Full Text: DOI
Chen, Zhijie; Fu, Erjuan; Lin, Chang-Shou Spectrum of the Lamé operator and application. I: Deformation along \(\operatorname{Re} \tau = \frac{ 1}{ 2} \). (English) Zbl 1468.34116 Adv. Math. 383, Article ID 107699, 36 p. (2021). Reviewer: Rodica Luca (Iaşi) MSC: 34L05 34L40 33E10 47A10 34L15 PDFBibTeX XMLCite \textit{Z. Chen} et al., Adv. Math. 383, Article ID 107699, 36 p. (2021; Zbl 1468.34116) Full Text: DOI
Ruiz, Adrian; Muriel, Concepcion; Ramírez, J. Parametric solutions to a static fourth-order Euler-Bernoulli beam equation in terms of Lamé functions. (English) Zbl 1453.34001 Ortegon Gallego, Francisco (ed.) et al., Recent advances in pure and applied mathematics. Based on contributions presented at the Second Joint Meeting Spain-Brazil in Mathematics, Cádiz, Spain, December 11–14, 2018. Cham: Springer. RSME Springer Ser. 4, 93-103 (2020). MSC: 34A05 34A34 33E10 74K10 PDFBibTeX XMLCite \textit{A. Ruiz} et al., RSME Springer Ser. 4, 93--103 (2020; Zbl 1453.34001) Full Text: DOI
Kudryashov, Nikolay A.; Safonova, Dariya V.; Biswas, Anjan Painlevé analysis and a solution to the traveling wave reduction of the Radhakrishnan-Kundu-Lakshmanan equation. (English) Zbl 1434.78022 Regul. Chaotic Dyn. 24, No. 6, 607-614 (2019). MSC: 78A60 37K10 35Q51 35Q55 35C07 33E05 35C05 35B10 35Q60 35C08 PDFBibTeX XMLCite \textit{N. A. Kudryashov} et al., Regul. Chaotic Dyn. 24, No. 6, 607--614 (2019; Zbl 1434.78022) Full Text: DOI
Li, Shengfeng; Dong, Yi \(k\)-hypergeometric series solutions to one type of non-homogeneous \(k\)-hypergeometric equations. (English) Zbl 1416.33014 Symmetry 11, No. 2, Paper No. 262, 11 p. (2019). MSC: 33C20 34A30 PDFBibTeX XMLCite \textit{S. Li} and \textit{Y. Dong}, Symmetry 11, No. 2, Paper No. 262, 11 p. (2019; Zbl 1416.33014) Full Text: DOI
Alhaidari, A. D. Erratum: “Series solutions of Heun-type equation in terms of orthogonal polynomials” [J. Math. Phys. 59, 113507 (2018)]. (English) Zbl 1414.34009 J. Math. Phys. 60, No. 4, 049901, 1 p. (2019). MSC: 34A25 34A30 33C45 34L05 PDFBibTeX XMLCite \textit{A. D. Alhaidari}, J. Math. Phys. 60, No. 4, 049901, 1 p. (2019; Zbl 1414.34009) Full Text: DOI
Doha, E. H.; Youssri, Y. H.; Zaky, M. A. Spectral solutions for differential and integral equations with varying coefficients using classical orthogonal polynomials. (English) Zbl 1433.65124 Bull. Iran. Math. Soc. 45, No. 2, 527-555 (2019). MSC: 65L05 65L10 42C10 33C45 42C05 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Bull. Iran. Math. Soc. 45, No. 2, 527--555 (2019; Zbl 1433.65124) Full Text: DOI
Cohl, Howard S.; Dang, Thinh H.; Dunster, T. M. Fundamental solutions and Gegenbauer expansions of Helmholtz operators in Riemannian spaces of constant curvature. (English) Zbl 1406.35106 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 136, 45 p. (2018). MSC: 35J05 58J05 35A08 33C05 33C45 PDFBibTeX XMLCite \textit{H. S. Cohl} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 136, 45 p. (2018; Zbl 1406.35106) Full Text: DOI arXiv
Alhaidari, A. D. Series solutions of Heun-type equation in terms of orthogonal polynomials. (English) Zbl 1404.34017 J. Math. Phys. 59, No. 11, 113507, 12 p. (2018). MSC: 34A25 34A30 33C45 34L05 PDFBibTeX XMLCite \textit{A. D. Alhaidari}, J. Math. Phys. 59, No. 11, 113507, 12 p. (2018; Zbl 1404.34017) Full Text: DOI arXiv
Das, Tapas Analytical approximate bound state solution of Schrödinger equation in \(D\)-dimensions with a new mixed class of potential for arbitrary \(\ell\)-state via asymptotic iteration method. (English) Zbl 07810286 Chin. J. Phys., Taipei 54, No. 5, 850-858 (2016). MSC: 00Axx 33Cxx 34Axx PDFBibTeX XMLCite \textit{T. Das}, Chin. J. Phys., Taipei 54, No. 5, 850--858 (2016; Zbl 07810286) Full Text: DOI arXiv
Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I. On the connection of the quadratic Liénard equation with an equation for the elliptic functions. (English) Zbl 1383.34003 Regul. Chaotic Dyn. 20, No. 4, 486-496 (2015). Reviewer: Klaus R. Schneider (Berlin) MSC: 34A05 34A34 33E05 PDFBibTeX XMLCite \textit{N. A. Kudryashov} and \textit{D. I. Sinelshchikov}, Regul. Chaotic Dyn. 20, No. 4, 486--496 (2015; Zbl 1383.34003) Full Text: DOI
Agboola, Davids; Links, Jon; Marquette, Ian; Zhang, Yao-Zhong New quasi-exactly solvable class of generalized isotonic oscillators. (English) Zbl 1300.81032 J. Phys. A, Math. Theor. 47, No. 39, Article ID 395305, 17 p. (2014). MSC: 81Q10 33C45 42C05 34L15 65L15 81Q05 81R15 81Q40 81U15 PDFBibTeX XMLCite \textit{D. Agboola} et al., J. Phys. A, Math. Theor. 47, No. 39, Article ID 395305, 17 p. (2014; Zbl 1300.81032) Full Text: DOI arXiv
Liao, Liang-Wen; Yang, Chung-Chun On the uniqueness of Riemann-zeta function. (English) Zbl 1291.30206 Matsuzaki, Katsuhiko (ed.) et al., Topics in finite or infinite dimensional complex analysis. Proceedings of the 19th international conference on finite or infinite dimensional complex analysis and applications (ICFIDCAA), Hiroshima, Japan, December 11–15, 2011. Sendai: Tohoku University Press (ISBN 978-4-86163-219-8/hbk). 163-167 (2013). MSC: 30D35 30D30 33E30 PDFBibTeX XMLCite \textit{L.-W. Liao} and \textit{C.-C. Yang}, in: Topics in finite or infinite dimensional complex analysis. Proceedings of the 19th international conference on finite or infinite dimensional complex analysis and applications (ICFIDCAA), Hiroshima, Japan, December 11--15, 2011. Sendai: Tohoku University Press. 163--167 (2013; Zbl 1291.30206)
Lyakhov, L. N.; Raykhelgauz, L. B. Even and odd Fourier-Bessel transformations and some singular differential equations. (English) Zbl 1298.33006 Rogosin, S. V. (ed.), Analytic methods of analysis and differential equations. AMADE 2009. Selected papers of the 5th international conference, Minsk, Belarus, September 14–19, 2009. Dedicated to the memory of Anatoly Kilbas. Cambridge: Cambridge Scientific Publishers (ISBN 978-1-908106-13-1/pbk). 107-112 (2012). MSC: 33C10 44A15 47E05 47G20 PDFBibTeX XMLCite \textit{L. N. Lyakhov} and \textit{L. B. Raykhelgauz}, in: Analytic methods of analysis and differential equations. AMADE 2009. Selected papers of the 5th international conference, Minsk, Belarus, September 14--19, 2009. Dedicated to the memory of Anatoly Kilbas. Cambridge: Cambridge Scientific Publishers. 107--112 (2012; Zbl 1298.33006)
Baranov, A. M. On an approach to constructing static ball models in general relativity. (English) Zbl 1258.83012 Gravit. Cosmol. 18, No. 3, 201-203 (2012). MSC: 83C15 83C55 33D90 PDFBibTeX XMLCite \textit{A. M. Baranov}, Gravit. Cosmol. 18, No. 3, 201--203 (2012; Zbl 1258.83012) Full Text: DOI arXiv
Vernov, S. Yu. Exact solutions of nonlocal nonlinear field equations in cosmology. (English. Russian original) Zbl 1274.83188 Theor. Math. Phys. 166, No. 3, 392-402 (2011); translation from Teor. Mat. Fiz. 166, No. 3, 452-464 (2011). MSC: 83F05 83C15 83C05 33E05 PDFBibTeX XMLCite \textit{S. Yu. Vernov}, Theor. Math. Phys. 166, No. 3, 392--402 (2011; Zbl 1274.83188); translation from Teor. Mat. Fiz. 166, No. 3, 452--464 (2011) Full Text: DOI arXiv
Ismail, Mourad E. H.; Mansour, Z. S. I. \(q\)-analogues of Freud weights and nonlinear difference equations. (English) Zbl 1211.39007 Adv. Appl. Math. 45, No. 4, 518-547 (2010). Reviewer: Andrei A. Kapaev (Trieste) MSC: 39A13 42C05 33D50 33C47 33E17 41A17 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{Z. S. I. Mansour}, Adv. Appl. Math. 45, No. 4, 518--547 (2010; Zbl 1211.39007) Full Text: DOI
Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian Generalized Jacobi polynomials/functions and their applications. (English) Zbl 1171.33006 Appl. Numer. Math. 59, No. 5, 1011-1028 (2009). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 35J05 42C05 65N22 PDFBibTeX XMLCite \textit{B.-Y. Guo} et al., Appl. Numer. Math. 59, No. 5, 1011--1028 (2009; Zbl 1171.33006) Full Text: DOI
Hooshmand, M. H. Infra logarithm and ultra power part functions. (English) Zbl 1200.33028 Integral Transforms Spec. Funct. 19, No. 7, 497-507 (2008). Reviewer: János Aczél (Waterloo/Ontario) MSC: 33E30 33B99 39B22 39B12 26A51 PDFBibTeX XMLCite \textit{M. H. Hooshmand}, Integral Transforms Spec. Funct. 19, No. 7, 497--507 (2008; Zbl 1200.33028) Full Text: DOI
Abramov, S. A.; Petkovšek, M. Dimensions of solution spaces of \(H\)-systems. (English) Zbl 1186.33038 J. Symb. Comput. 43, No. 5, 377-394 (2008). MSC: 33F10 33C70 39A05 PDFBibTeX XMLCite \textit{S. A. Abramov} and \textit{M. Petkovšek}, J. Symb. Comput. 43, No. 5, 377--394 (2008; Zbl 1186.33038) Full Text: DOI
Tertychniy, Sergey I. General solution of overdamped Josephson junction equation in the case of phase-lock. (English) Zbl 1132.33341 Electron. J. Differ. Equ. 2007, Paper No. 133, 20 p. (2007). MSC: 33E30 34A05 34A25 34B30 34B60 34M05 34M35 70K40 PDFBibTeX XMLCite \textit{S. I. Tertychniy}, Electron. J. Differ. Equ. 2007, Paper No. 133, 20 p. (2007; Zbl 1132.33341) Full Text: arXiv EuDML EMIS
Kengne, E.; Chui, S. T. Exact solutions in one-dimensional Bose-Einstein gas in a time-varying trap potential and atomic scattering length. (English) Zbl 1144.82304 Int. J. Mod. Phys. B 21, No. 7, 1043-1050 (2007). MSC: 82B10 33C90 81Q05 PDFBibTeX XMLCite \textit{E. Kengne} and \textit{S. T. Chui}, Int. J. Mod. Phys. B 21, No. 7, 1043--1050 (2007; Zbl 1144.82304) Full Text: DOI
Eelbode, D.; Sommen, F. The fundamental solution of the hyperbolic Dirac operator on \(\mathbb R^{1,m}\) : a new approach. (English) Zbl 1072.30037 Bull. Belg. Math. Soc. - Simon Stevin 12, No. 1, 23-37 (2005). Reviewer: Klaus Habetha (Aachen) MSC: 30G35 51M10 33C05 35A08 35Q40 PDFBibTeX XMLCite \textit{D. Eelbode} and \textit{F. Sommen}, Bull. Belg. Math. Soc. - Simon Stevin 12, No. 1, 23--37 (2005; Zbl 1072.30037) Full Text: Euclid
da Fonseca, C. M.; Petronilho, J. Explicit inverses of some tridiagonal matrices. (English) Zbl 0983.15007 Linear Algebra Appl. 325, No. 1-3, 7-21 (2001). Reviewer: Nikolai I.Osetinski (Moskva) MSC: 15A09 33C45 42C05 PDFBibTeX XMLCite \textit{C. M. da Fonseca} and \textit{J. Petronilho}, Linear Algebra Appl. 325, No. 1--3, 7--21 (2001; Zbl 0983.15007) Full Text: DOI
Dosinas, G.; Navickas, Z. Construction of solutions of a partial differential equation with constant coefficients using the form of formal Series. III. (English. Russian original) Zbl 0849.35017 Lith. Math. J. 34, No. 3, 220-230 (1994); translation from Liet. Mat. Rink. 34, No. 3, 274-287 (1994). Reviewer: M.Kopáčková (Praha) MSC: 35C05 35E20 35G05 33C65 PDFBibTeX XMLCite \textit{G. Dosinas} and \textit{Z. Navickas}, Lith. Math. J. 34, No. 3, 220--230 (1994; Zbl 0849.35017); translation from Liet. Mat. Rink. 34, No. 3, 274--287 (1994) Full Text: DOI
Navarro, E.; Company, R.; Jódar, L. Bessel matrix differential equations: Explicit solutions of initial and two-point boundary value problems. (English) Zbl 0796.34012 Appl. Math. 22, No. 1, 11-23 (1993). Reviewer: M.Idemen (İstanbul) MSC: 34A30 33C10 47A60 34M99 34A05 34B30 PDFBibTeX XMLCite \textit{E. Navarro} et al., Appl. Math. 22, No. 1, 11--23 (1993; Zbl 0796.34012) Full Text: DOI EuDML
Grin’ko, A. P. On the solution of a nonlinear differential equation with generalized fractional derivative. (Russian. English summary) Zbl 0732.34004 Dokl. Akad. Nauk BSSR 35, No. 1, 27-31 (1991). MSC: 34A12 34A25 33C05 PDFBibTeX XMLCite \textit{A. P. Grin'ko}, Dokl. Akad. Nauk BSSR 35, No. 1, 27--31 (1991; Zbl 0732.34004)
Lesky, Peter Reelle orthogonale Polynomlösungen von komplexen Differenzengleichungen zweiter Ordnung. (Real orthogonal polynomial solutions of second order complex difference equations). (German) Zbl 0726.39001 Result. Math. 19, No. 1-2, 110-121 (1991). Reviewer: W.Bergweiler (Aachen) MSC: 39A10 42C05 33C45 PDFBibTeX XMLCite \textit{P. Lesky}, Result. Math. 19, No. 1--2, 110--121 (1991; Zbl 0726.39001) Full Text: DOI
Vetrov, L. G. Bilinear expansions of two-dimensional probability densities in orthogonal polynomials. (English. Russian original) Zbl 0713.60019 Theory Probab. Math. Stat. 39, 29-34 (1989); translation from Teor. Veroyatn. Mat. Stat., Kiev 39, 24-29 (1988). MSC: 60E05 33C45 PDFBibTeX XMLCite \textit{L. G. Vetrov}, Theory Probab. Math. Stat. 39, 29--34 (1989; Zbl 0713.60019); translation from Teor. Veroyatn. Mat. Stat., Kiev 39, 24--29 (1988)
Grigor’ev, Yu. M.; Naumov, V. V. Solution of the third and fourth basic problems on equilibrium of an elastic ball in the closed form. (Russian) Zbl 0703.73014 Mekhanika Slozhnykh Reologicheskikh Sistem, Din. Sploshnoj Sredy 87, 54-66 (1988). MSC: 74B99 74H99 33C55 PDFBibTeX XMLCite \textit{Yu. M. Grigor'ev} and \textit{V. V. Naumov}, Din. Splosh. Sredy 87, 54--66 (1988; Zbl 0703.73014)
Caldwell, J. Computation of eigenvalues of spheroidal harmonics using relaxation. (English) Zbl 0695.35044 J. Phys. A 21, No. 19, 3685-3693 (1988). MSC: 35G99 65L10 33C55 PDFBibTeX XMLCite \textit{J. Caldwell}, J. Phys. A, Math. Gen. 21, No. 19, 3685--3693 (1988; Zbl 0695.35044) Full Text: DOI
Vetrov, L. G. Bilinear decompositions of two-dimensional probability densities with respect to orthogonal polynomials. (Russian) Zbl 0669.60022 Teor. Veroyatn. Mat. Stat., Kiev 39, 24-29 (1988). Reviewer: L.G.Vetrov MSC: 60E05 33C45 PDFBibTeX XMLCite \textit{L. G. Vetrov}, Teor. Veroyatn. Mat. Stat., Kiev 39, 24--29 (1988; Zbl 0669.60022)
Chudnovsky, D. V.; Chudnovsky, G. V. Approximations and complex multiplication according to Ramanujan. (English) Zbl 0647.10002 Ramanujan revisited, Proc. Conf., Urbana-Champaign/Illinois 1987, 375-472 (1988). Reviewer: J.Wolfart MSC: 11-02 14-02 11J81 14K22 11-04 11Y60 11Y05 11J85 30F10 30B40 34M99 41A21 33C05 68W99 11A41 14-04 PDFBibTeX XML
Masson, David R. Difference equations revisited. (English) Zbl 0639.39002 Mathematical quantum field theory and related topics, Proc. Conf., Montreal/Can. 1987, CMS Conf. Proc. 9, 73-82 (1988). Reviewer: R.Vaillancourt MSC: 39A10 40A15 33C05 44A60 47A10 47A40 PDFBibTeX XML
Lee, Tsu-Tian; Chang, Yih-Fong Analysis, parameter estimation and optimal control of nonlinear systems via general orthogonal polynomials. (English) Zbl 0594.93038 Int. J. Control 44, 1089-1102 (1986). MSC: 93C10 42C10 93B30 33C45 44A45 PDFBibTeX XMLCite \textit{T.-T. Lee} and \textit{Y.-F. Chang}, Int. J. Control 44, 1089--1102 (1986; Zbl 0594.93038) Full Text: DOI
Kairies, H.-H. An inequality for Krull solutions of a certain difference equation. (English) Zbl 0517.39001 General inequalities 3, 3rd int. Conf., Oberwolfach 1981, ISNM 64, 277-280 (1983). MSC: 39A10 33B15 39B05 PDFBibTeX XML
Kabanov, A. S.; Netreba, S. N. Free convection from a point heat source in a stably stratified medium. (English. Russian original) Zbl 0521.76077 J. Appl. Math. Mech. 46, 49-53 (1983); translation from Prikl. Mat. Mekh. 46, 60-65 (1982). MSC: 76R10 76D05 76V05 44A05 33C10 PDFBibTeX XMLCite \textit{A. S. Kabanov} and \textit{S. N. Netreba}, J. Appl. Math. Mech. 46, 49--53 (1982; Zbl 0521.76077); translation from Prikl. Mat. Mekh. 46, 60--65 (1982) Full Text: DOI
Miles, John W. Waves in a rapidly rotating gas. (English) Zbl 0471.76108 J. Fluid Mech. 107, 487-497 (1981). MSC: 76U05 76N20 33C05 33C60 PDFBibTeX XMLCite \textit{J. W. Miles}, J. Fluid Mech. 107, 487--497 (1981; Zbl 0471.76108) Full Text: DOI
Stoltz, J. F.; Gaillard, S.; Lucius, M.; Guillot, M. Recherche d’un modèle viscoelastique applicable au comportement rheologique du sang. (French) Zbl 0415.76099 J. Mec. 18, 593-607 (1979). MSC: 76Z05 76U05 76A05 76A10 76D05 33C10 44A10 PDFBibTeX XMLCite \textit{J. F. Stoltz} et al., J. Méc., Paris 18, 593--607 (1979; Zbl 0415.76099)
Kanellopoulos, John D.; Fikioris, John G. Resonant frequencies in an electromagnetic eccentric spherical cavity. (English) Zbl 0405.45004 Q. Appl. Math. 37, 51-66 (1979). MSC: 45H05 45E05 78A25 65R20 33C55 PDFBibTeX XMLCite \textit{J. D. Kanellopoulos} and \textit{J. G. Fikioris}, Q. Appl. Math. 37, 51--66 (1979; Zbl 0405.45004) Full Text: DOI
Sips, Robert Représentation asymptotique de la solution générale de l’équation de Mathieu-Hill. (French) Zbl 0142.32401 Acad. R. Belg., Bull. Cl. Sci., V. Sér. 51, 1415-1446 (1965). Reviewer: R. W. Schäfke MSC: 33E30 34E05 PDFBibTeX XMLCite \textit{R. Sips}, Bull. Cl. Sci., V. Sér., Acad. R. Belg. 51, 1415--1446 (1965; Zbl 0142.32401)
Romanovskiĭ, P. I. Fourier series. Field theory. Analytic and special functions. Laplace transform. 2nd enl. ed. (Ряды Фуръе. Теория поля. Аналитические и специалъные функции. Преобразование Лапласа) (Fourierreihen. Theorie der Felder. Analytische und spezielle Funktionen. Laplace-Transformationen.) (Russian) Zbl 0086.26703 Moskva: Staatsverlag für physikalisch-mathematische Literatur. 303 p. (1959). MSC: 42-01 33-01 44A10 39A05 PDFBibTeX XML