Brennecken, Dominik Hankel transform, \(\mathcal{K}\)-Bessel functions and zeta distributions in the Dunkl setting. (English) Zbl 07815854 J. Math. Anal. Appl. 535, No. 2, Article ID 128125, 35 p. (2024). Reviewer: Oğuz Yağcı (Kırıkkale) MSC: 33C67 33C10 44A20 PDFBibTeX XMLCite \textit{D. Brennecken}, J. Math. Anal. Appl. 535, No. 2, Article ID 128125, 35 p. (2024; Zbl 07815854) Full Text: DOI arXiv
Boschi, Martina; Ritelli, Daniele; Spaletta, Giulia Exact time-integral inversion via Čebyšëv quintic approximations for nonlinear oscillators. (English) Zbl 07791628 J. Math. Anal. Appl. 533, No. 1, Article ID 128015, 16 p. (2024). MSC: 34C15 34A05 33C75 41A50 PDFBibTeX XMLCite \textit{M. Boschi} et al., J. Math. Anal. Appl. 533, No. 1, Article ID 128015, 16 p. (2024; Zbl 07791628) Full Text: DOI
Ni, He-Xia; Wang, Li-Yuan Proof of conjectures of Sun on double basic hypergeometric sums. (English) Zbl 07787728 J. Math. Anal. Appl. 532, No. 2, Article ID 127920, 7 p. (2024). MSC: 11A07 11B65 33D15 PDFBibTeX XMLCite \textit{H.-X. Ni} and \textit{L.-Y. Wang}, J. Math. Anal. Appl. 532, No. 2, Article ID 127920, 7 p. (2024; Zbl 07787728) Full Text: DOI
Tang, Na Some \(q\)-supercongruences related to Van Hamme’s (C.2) supercongruence. (English) Zbl 1523.11004 J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127402, 6 p. (2023). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 33D15 33F10 05A30 PDFBibTeX XMLCite \textit{N. Tang}, J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127402, 6 p. (2023; Zbl 1523.11004) Full Text: DOI
He, Haihong; Wang, Xiaoxia Some congruences that extend Van Hamme’s (D.2) supercongruence. (English) Zbl 07707914 J. Math. Anal. Appl. 527, No. 1, Part 1, Article ID 127344, 9 p. (2023). MSC: 11A07 33D15 33F10 PDFBibTeX XMLCite \textit{H. He} and \textit{X. Wang}, J. Math. Anal. Appl. 527, No. 1, Part 1, Article ID 127344, 9 p. (2023; Zbl 07707914) Full Text: DOI
Mao, Guo-Shuai; Pan, Hao Congruences corresponding to hypergeometric identities. I: \(_2F_1\) transformations. (English) Zbl 1479.11010 J. Math. Anal. Appl. 505, No. 2, Article ID 125527, 40 p. (2022). MSC: 11A07 33C05 PDFBibTeX XMLCite \textit{G.-S. Mao} and \textit{H. Pan}, J. Math. Anal. Appl. 505, No. 2, Article ID 125527, 40 p. (2022; Zbl 1479.11010) Full Text: DOI
Wang, Chen; Sun, Zhi-Wei Proof of some conjectural hypergeometric supercongruences via curious identities. (English) Zbl 1479.11017 J. Math. Anal. Appl. 505, No. 1, Article ID 125575, 20 p. (2022). MSC: 11A07 11B65 PDFBibTeX XMLCite \textit{C. Wang} and \textit{Z.-W. Sun}, J. Math. Anal. Appl. 505, No. 1, Article ID 125575, 20 p. (2022; Zbl 1479.11017) Full Text: DOI arXiv
Liu, Yudong; Wang, Xiaoxia \(q\)-analogues of two Ramanujan-type supercongruences. (English) Zbl 1466.05009 J. Math. Anal. Appl. 502, No. 1, Article ID 125238, 14 p. (2021). MSC: 05A30 11A07 33D45 33D15 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{X. Wang}, J. Math. Anal. Appl. 502, No. 1, Article ID 125238, 14 p. (2021; Zbl 1466.05009) Full Text: DOI
Melikdzhanian, D. Yu.; Ishkhanyan, A. M. A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations. (English) Zbl 1467.34091 J. Math. Anal. Appl. 499, No. 2, Article ID 125037, 13 p. (2021). Reviewer: Valentine Tyshchenko (Grodno) MSC: 34M03 PDFBibTeX XMLCite \textit{D. Yu. Melikdzhanian} and \textit{A. M. Ishkhanyan}, J. Math. Anal. Appl. 499, No. 2, Article ID 125037, 13 p. (2021; Zbl 1467.34091) Full Text: DOI arXiv
Wang, Chen; Xia, Wei Divisibility results concerning truncated hypergeometric series. (English) Zbl 1451.33004 J. Math. Anal. Appl. 491, No. 2, Article ID 124402, 9 p. (2020). Reviewer: István Mező (Nanjing) MSC: 33C05 11A07 PDFBibTeX XMLCite \textit{C. Wang} and \textit{W. Xia}, J. Math. Anal. Appl. 491, No. 2, Article ID 124402, 9 p. (2020; Zbl 1451.33004) Full Text: DOI arXiv
Guo, Victor J. W. \(q\)-analogues of Dwork-type supercongruences. (English) Zbl 1439.11011 J. Math. Anal. Appl. 487, No. 2, Article ID 124022, 9 p. (2020). Reviewer: Dazhao Tang (Chongqing) MSC: 11A07 11B65 11F33 33D05 PDFBibTeX XMLCite \textit{V. J. W. Guo}, J. Math. Anal. Appl. 487, No. 2, Article ID 124022, 9 p. (2020; Zbl 1439.11011) Full Text: DOI arXiv
Guo, Victor J. W. Factors of some truncated basic hypergeometric series. (English) Zbl 1448.33016 J. Math. Anal. Appl. 476, No. 2, 851-859 (2019). MSC: 33D05 11A07 11F33 PDFBibTeX XMLCite \textit{V. J. W. Guo}, J. Math. Anal. Appl. 476, No. 2, 851--859 (2019; Zbl 1448.33016) Full Text: DOI arXiv
Liu, Ji-Cai On Van Hamme’s (A.2) and (H.2) supercongruences. (English) Zbl 1423.11015 J. Math. Anal. Appl. 471, No. 1-2, 613-622 (2019). MSC: 11A07 33C20 33E50 PDFBibTeX XMLCite \textit{J.-C. Liu}, J. Math. Anal. Appl. 471, No. 1--2, 613--622 (2019; Zbl 1423.11015) Full Text: DOI arXiv
Maslouhi, Mostafa On the Dunkl intertwining operator. (English) Zbl 1360.22013 J. Math. Anal. Appl. 447, No. 2, 846-859 (2017). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 22E30 33C80 20F55 13N10 43A32 PDFBibTeX XMLCite \textit{M. Maslouhi}, J. Math. Anal. Appl. 447, No. 2, 846--859 (2017; Zbl 1360.22013) Full Text: DOI arXiv
Abdollahpour, M. R.; Aghayari, R.; Rassias, M. Th. Hyers-Ulam stability of associated Laguerre differential equations in a subclass of analytic functions. (English) Zbl 1334.34117 J. Math. Anal. Appl. 437, No. 1, 605-612 (2016). MSC: 34D10 34A30 33C45 PDFBibTeX XMLCite \textit{M. R. Abdollahpour} et al., J. Math. Anal. Appl. 437, No. 1, 605--612 (2016; Zbl 1334.34117) Full Text: DOI
Rösler, Margit; Voit, Michael A multivariate version of the disk convolution. (English) Zbl 1332.43009 J. Math. Anal. Appl. 435, No. 1, 701-717 (2016). Reviewer: Boris Rubin (Baton Rouge) MSC: 43A90 43A62 PDFBibTeX XMLCite \textit{M. Rösler} and \textit{M. Voit}, J. Math. Anal. Appl. 435, No. 1, 701--717 (2016; Zbl 1332.43009) Full Text: DOI arXiv
Osburn, Robert; Zudilin, Wadim On the (K.2) supercongruence of Van Hamme. (English) Zbl 1400.11062 J. Math. Anal. Appl. 433, No. 1, 706-711 (2016). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11B65 11A07 33C20 33F10 PDFBibTeX XMLCite \textit{R. Osburn} and \textit{W. Zudilin}, J. Math. Anal. Appl. 433, No. 1, 706--711 (2016; Zbl 1400.11062) Full Text: DOI arXiv
Area, I.; Branquinho, A.; Foulquié Moreno, A.; Godoy, E. Characterizations of \(\Delta\)-Volterra lattice: a symmetric orthogonal polynomials interpretation. (English) Zbl 1356.37075 J. Math. Anal. Appl. 433, No. 1, 243-259 (2016). Reviewer: Pierluigi Vellucci (Roma) MSC: 37J35 33C45 39A70 PDFBibTeX XMLCite \textit{I. Area} et al., J. Math. Anal. Appl. 433, No. 1, 243--259 (2016; Zbl 1356.37075) Full Text: DOI
Zhang, Zhizheng; Wu, Yun A \(U(n + 1)\) Bailey lattice. (English) Zbl 1315.33022 J. Math. Anal. Appl. 426, No. 2, 747-764 (2015). Reviewer: Jeremy Lovejoy (Paris) MSC: 33D67 33D15 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{Y. Wu}, J. Math. Anal. Appl. 426, No. 2, 747--764 (2015; Zbl 1315.33022) Full Text: DOI
Ito, Masahiko; Forrester, Peter J. The \(q\)-Dixon-Anderson integral and multi-dimensional \(_1\psi_1\) summations. (English) Zbl 1302.33006 J. Math. Anal. Appl. 423, No. 2, 1704-1737 (2015). MSC: 33C20 33C67 PDFBibTeX XMLCite \textit{M. Ito} and \textit{P. J. Forrester}, J. Math. Anal. Appl. 423, No. 2, 1704--1737 (2015; Zbl 1302.33006) Full Text: DOI arXiv
Liaw, Constanze; Littlejohn, Lance L.; Stewart, Jessica; Wicks, Quinn A spectral study of the second-order exceptional \(X_1\)-Jacobi differential expression and a related non-classical Jacobi differential expression. (English) Zbl 1303.33012 J. Math. Anal. Appl. 422, No. 1, 212-239 (2015). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 34A30 PDFBibTeX XMLCite \textit{C. Liaw} et al., J. Math. Anal. Appl. 422, No. 1, 212--239 (2015; Zbl 1303.33012) Full Text: DOI arXiv
Álvarez-Nodarse, R.; Cardoso, J. L. On the properties of special functions on the linear-type lattices. (English) Zbl 1309.33019 J. Math. Anal. Appl. 405, No. 1, 271-285 (2013). MSC: 33D45 33C52 PDFBibTeX XMLCite \textit{R. Álvarez-Nodarse} and \textit{J. L. Cardoso}, J. Math. Anal. Appl. 405, No. 1, 271--285 (2013; Zbl 1309.33019) Full Text: DOI arXiv
Rutka, Przemysław; Smarzewski, Ryszard Multivariate inequalities of Chernoff type for classical orthogonal polynomials. (English) Zbl 1236.33022 J. Math. Anal. Appl. 388, No. 1, 78-85 (2012). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C50 33C45 26D15 41A10 41A50 41A63 PDFBibTeX XMLCite \textit{P. Rutka} and \textit{R. Smarzewski}, J. Math. Anal. Appl. 388, No. 1, 78--85 (2012; Zbl 1236.33022) Full Text: DOI
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A. Bivariate second-order linear partial differential equations and orthogonal polynomial solutions. (English) Zbl 1248.35037 J. Math. Anal. Appl. 387, No. 2, 1188-1208 (2012). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 35C05 33C47 33C67 PDFBibTeX XMLCite \textit{I. Area} et al., J. Math. Anal. Appl. 387, No. 2, 1188--1208 (2012; Zbl 1248.35037) Full Text: DOI arXiv
Lucas, Adam R. A one-parameter family of stationary solutions in the susceptible-infected-susceptible epidemic model. (English) Zbl 1202.92078 J. Math. Anal. Appl. 374, No. 1, 258-271 (2011). Reviewer: E. Ahmed (Mansoura) MSC: 92D30 92C42 33C90 65C20 34C60 PDFBibTeX XMLCite \textit{A. R. Lucas}, J. Math. Anal. Appl. 374, No. 1, 258--271 (2011; Zbl 1202.92078) Full Text: DOI
Chen, Yang; Ismail, Mourad E. H. Ladder operators for \(q\)-orthogonal polynomials. (English) Zbl 1154.33010 J. Math. Anal. Appl. 345, No. 1, 1-10 (2008). Reviewer: Semyon Yakubovich (Porto) MSC: 33D52 44A60 33C45 39A10 39A13 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{M. E. H. Ismail}, J. Math. Anal. Appl. 345, No. 1, 1--10 (2008; Zbl 1154.33010) Full Text: DOI arXiv
Defazio, Mark V.; Gupta, Dharma P.; Muldoon, Martin E. Limit relations for the complex zeros of Laguerre and \(q\)-Laguerre polynomials. (English) Zbl 1122.33012 J. Math. Anal. Appl. 334, No. 2, 977-982 (2007). Reviewer: H. S. P. Shrivastava (Ratlam) MSC: 33D45 33C52 33D99 PDFBibTeX XMLCite \textit{M. V. Defazio} et al., J. Math. Anal. Appl. 334, No. 2, 977--982 (2007; Zbl 1122.33012) Full Text: DOI
Varlamov, Vladimir Convolutions of Rayleigh functions and their application to semi-linear equations in circular domains. (English) Zbl 1107.33013 J. Math. Anal. Appl. 327, No. 2, 1461-1478 (2007). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C67 33C10 35L75 35Q72 PDFBibTeX XMLCite \textit{V. Varlamov}, J. Math. Anal. Appl. 327, No. 2, 1461--1478 (2007; Zbl 1107.33013) Full Text: DOI
Zhang, Zhizheng Operator identities and several \(U(n+1)\) generalizations of the Kalnins–Miller transformations. (English) Zbl 1113.33020 J. Math. Anal. Appl. 324, No. 2, 1152-1167 (2006). Reviewer: Fabio Scarabotti (Roma) MSC: 33D67 05A30 33D15 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Math. Anal. Appl. 324, No. 2, 1152--1167 (2006; Zbl 1113.33020) Full Text: DOI
Rakha, Medhat A. Multivariate basic hypergeometric series associated to root systems of type \(A_{m}\). (English) Zbl 1049.33015 J. Math. Anal. Appl. 294, No. 1, 181-195 (2004). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D67 33D70 33D52 33D45 33D05 PDFBibTeX XMLCite \textit{M. A. Rakha}, J. Math. Anal. Appl. 294, No. 1, 181--195 (2004; Zbl 1049.33015) Full Text: DOI
Rosengren, Hjalmar Karlsson–Minton type hypergeometric functions on the root system \(C_{n}\). (English) Zbl 1032.33013 J. Math. Anal. Appl. 281, No. 1, 332-345 (2003). Reviewer: Per W.Karlsson (Lyngby) MSC: 33D52 33D67 PDFBibTeX XMLCite \textit{H. Rosengren}, J. Math. Anal. Appl. 281, No. 1, 332--345 (2003; Zbl 1032.33013) Full Text: DOI arXiv
Grinshpun, Zinoviy On oscillatory properties of the Bernstein-Szegő orthogonal polynomials. (English) Zbl 1009.33009 J. Math. Anal. Appl. 272, No. 1, 349-361 (2002). Reviewer: Matthew He (Ft.Lauderdale) MSC: 33C45 PDFBibTeX XMLCite \textit{Z. Grinshpun}, J. Math. Anal. Appl. 272, No. 1, 349--361 (2002; Zbl 1009.33009) Full Text: DOI
Ben Cheikh, Youssèf Differential equations satisfied by the components with respect to the cyclic group of order \(n\) of some special functions. (English) Zbl 0982.33002 J. Math. Anal. Appl. 244, No. 2, 483-497 (2000). Reviewer: Hari M.Srivastava (Victoria) MSC: 33C20 30B10 33D60 34A30 PDFBibTeX XMLCite \textit{Y. Ben Cheikh}, J. Math. Anal. Appl. 244, No. 2, 483--497 (2000; Zbl 0982.33002) Full Text: DOI
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