Dominici, Diego; Marcellán, Francisco Truncated Hermite polynomials. (English) Zbl 07745974 J. Difference Equ. Appl. 29, No. 7, 701-732 (2023). MSC: 33C47 33C45 42C05 PDFBibTeX XMLCite \textit{D. Dominici} and \textit{F. Marcellán}, J. Difference Equ. Appl. 29, No. 7, 701--732 (2023; Zbl 07745974) Full Text: DOI arXiv
Filipuk, Galina; Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J. Second-order difference equation for Sobolev-type orthogonal polynomials. I: Theoretical results. (English) Zbl 1518.33005 J. Difference Equ. Appl. 28, No. 7, 971-989 (2022). Reviewer: Roberto S. Costas-Santos (Sevilla) MSC: 33C47 39A05 42C05 PDFBibTeX XMLCite \textit{G. Filipuk} et al., J. Difference Equ. Appl. 28, No. 7, 971--989 (2022; Zbl 1518.33005) Full Text: DOI
Güldoğan Lekesiz, Esra; Aktaş, Rabia Some limit relationships between some two-variable finite and infinite sequences of orthogonal polynomials. (English) Zbl 1501.33005 J. Difference Equ. Appl. 27, No. 12, 1692-1722 (2021). MSC: 33C45 33C50 PDFBibTeX XMLCite \textit{E. Güldoğan Lekesiz} and \textit{R. Aktaş}, J. Difference Equ. Appl. 27, No. 12, 1692--1722 (2021; Zbl 1501.33005) Full Text: DOI
Zagorodnyuk, S. M. On some Sobolev spaces with matrix weights and classical type Sobolev orthogonal polynomials. (English) Zbl 1465.42026 J. Difference Equ. Appl. 27, No. 2, 261-283 (2021). MSC: 42C05 46E35 PDFBibTeX XMLCite \textit{S. M. Zagorodnyuk}, J. Difference Equ. Appl. 27, No. 2, 261--283 (2021; Zbl 1465.42026) Full Text: DOI arXiv
Wang, Dan; Zhu, Mengkun; Chen, Yang Orthogonal polynomials, bi-confluent Heun equations and semi-classical weights. (English) Zbl 1465.33009 J. Difference Equ. Appl. 26, No. 7, 1000-1012 (2020). Reviewer: María-José Cantero (Zaragoza) MSC: 33C47 34M55 35C20 65Q99 PDFBibTeX XMLCite \textit{D. Wang} et al., J. Difference Equ. Appl. 26, No. 7, 1000--1012 (2020; Zbl 1465.33009) Full Text: DOI
Masjed-Jamei, Mohammad; Koepf, Wolfram; Tcheutia, Daniel Duviol A finite sequence of Hahn-type discrete orthogonal polynomials. (English) Zbl 1452.42015 J. Difference Equ. Appl. 26, No. 7, 952-965 (2020). Reviewer: Pierluigi Vellucci (Roma) MSC: 42C05 33E30 33C47 33C45 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} et al., J. Difference Equ. Appl. 26, No. 7, 952--965 (2020; Zbl 1452.42015) Full Text: DOI
Niu, Da-Wei; Li, Long \(q\)-Laguerre polynomials and related \(q\)-partial differential equations. (English) Zbl 1427.05033 J. Difference Equ. Appl. 24, No. 3, 375-390 (2018). MSC: 05A30 11B65 33D15 33D45 39A13 PDFBibTeX XMLCite \textit{D.-W. Niu} and \textit{L. Li}, J. Difference Equ. Appl. 24, No. 3, 375--390 (2018; Zbl 1427.05033) Full Text: DOI
Zagorodnyuk, Sergey Mihaylovich Difference equations related to Jacobi-type pencils. (English) Zbl 1407.42017 J. Difference Equ. Appl. 24, No. 10, 1664-1684 (2018). Reviewer: József Sándor (Cluj-Napoca) MSC: 42C05 39A12 PDFBibTeX XMLCite \textit{S. M. Zagorodnyuk}, J. Difference Equ. Appl. 24, No. 10, 1664--1684 (2018; Zbl 1407.42017) Full Text: DOI arXiv
Masjed-Jamei, Mohammad; Koepf, Wolfram Two finite hypergeometric sequences of discrete orthogonal polynomials. (English) Zbl 1407.42015 J. Difference Equ. Appl. 24, No. 9, 1429-1443 (2018). Reviewer: Lotfi Khériji (Tunis) MSC: 42C05 33E30 33C47 33C45 33C20 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} and \textit{W. Koepf}, J. Difference Equ. Appl. 24, No. 9, 1429--1443 (2018; Zbl 1407.42015) Full Text: DOI
Chen, Hongmei; Filipuk, Galina; Chen, Yang Nonlinear difference equations for the generalized little \(q\)-Laguerre polynomials. (English) Zbl 1381.33014 J. Difference Equ. Appl. 23, No. 12, 1943-1973 (2017). MSC: 33C45 33C47 34E05 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Difference Equ. Appl. 23, No. 12, 1943--1973 (2017; Zbl 1381.33014) Full Text: DOI
Griffin, James A characterization of some semi classical orthogonal polynomials. (English) Zbl 1357.33024 J. Difference Equ. Appl. 22, No. 9, 1261-1270 (2016). MSC: 33E30 33D45 PDFBibTeX XMLCite \textit{J. Griffin}, J. Difference Equ. Appl. 22, No. 9, 1261--1270 (2016; Zbl 1357.33024) Full Text: DOI
Clarkson, Peter A.; Loureiro, Ana F.; van Assche, Walter Unique positive solution for an alternative discrete Painlevé I equation. (English) Zbl 1355.39005 J. Difference Equ. Appl. 22, No. 5, 656-675 (2016). Reviewer: Ti-Jun Xiao (Fudan) MSC: 39A12 34M55 39A22 PDFBibTeX XMLCite \textit{P. A. Clarkson} et al., J. Difference Equ. Appl. 22, No. 5, 656--675 (2016; Zbl 1355.39005) Full Text: DOI arXiv Link
Erdem, Kübra; Yalçinbaş, Salih; Sezer, Mehmet A Bernoulli polynomial approach with residual correction for solving mixed linear Fredholm integro-differential-difference equations. (English) Zbl 1277.65114 J. Difference Equ. Appl. 19, No. 10, 1619-1631 (2013). MSC: 65R20 45A05 45J05 PDFBibTeX XMLCite \textit{K. Erdem} et al., J. Difference Equ. Appl. 19, No. 10, 1619--1631 (2013; Zbl 1277.65114) Full Text: DOI
Masjed-Jamei, M.; Area, I. A symmetric generalization of Sturm-Liouville problems in discrete spaces. (English) Zbl 1281.39007 J. Difference Equ. Appl. 19, No. 9, 1544-1562 (2013). Reviewer: Petr Zemanek (Brno) MSC: 39A12 34B24 34L10 33C47 05E05 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} and \textit{I. Area}, J. Difference Equ. Appl. 19, No. 9, 1544--1562 (2013; Zbl 1281.39007) Full Text: DOI arXiv
Boelen, Lies; Filipuk, Galina; Smet, Christophe; Van Assche, Walter; Zhang, Lun The generalized Krawtchouk polynomials and the fifth Painlevé equation. (English) Zbl 1279.33013 J. Difference Equ. Appl. 19, No. 9, 1437-1451 (2013). MSC: 33C45 33C47 33E17 34M55 PDFBibTeX XMLCite \textit{L. Boelen} et al., J. Difference Equ. Appl. 19, No. 9, 1437--1451 (2013; Zbl 1279.33013) Full Text: DOI arXiv
Campbell, James T.; Collins, Jared T. Specifying attracting cycles for Newton maps of polynomials. (English) Zbl 1283.30060 J. Difference Equ. Appl. 19, No. 8, 1361-1379 (2013). Reviewer: Katsuya Ishizaki (Chiba) MSC: 30D05 34M03 37F10 39B12 PDFBibTeX XMLCite \textit{J. T. Campbell} and \textit{J. T. Collins}, J. Difference Equ. Appl. 19, No. 8, 1361--1379 (2013; Zbl 1283.30060) Full Text: DOI arXiv
Arvesú, J.; Soria-Lorente, A. First-order non-homogeneous \(q\)-difference equation for Stieltjes function characterizing \(q\)-orthogonal polynomials. (English) Zbl 1272.42014 J. Difference Equ. Appl. 19, No. 5, 814-838 (2013). Reviewer: Roelof Koekoek (Delft) MSC: 42C05 33C47 33E30 33D45 33D15 PDFBibTeX XMLCite \textit{J. Arvesú} and \textit{A. Soria-Lorente}, J. Difference Equ. Appl. 19, No. 5, 814--838 (2013; Zbl 1272.42014) Full Text: DOI arXiv
Rong, Feng A note on the topological classification of complex polynomial differential equations with only centre singularities. (English) Zbl 1333.37044 J. Difference Equ. Appl. 18, No. 11, 1947-1949 (2012). MSC: 37F20 37F10 34C05 PDFBibTeX XMLCite \textit{F. Rong}, J. Difference Equ. Appl. 18, No. 11, 1947--1949 (2012; Zbl 1333.37044) Full Text: DOI
Gülsu, Mustafa; Öztürk, Yalçın; Sezer, Mehmet A new Chebyshev polynomial approximation for solving delay differential equations. (English) Zbl 1245.65081 J. Difference Equ. Appl. 18, No. 6, 1043-1065 (2012). MSC: 65L03 65L10 34K10 34K28 65L60 PDFBibTeX XMLCite \textit{M. Gülsu} et al., J. Difference Equ. Appl. 18, No. 6, 1043--1065 (2012; Zbl 1245.65081) Full Text: DOI
Arvesú, J.; Esposito, C. A high-order \(q\)-difference equation for \(q\)-Hahn multiple orthogonal polynomials. (English) Zbl 1256.39006 J. Difference Equ. Appl. 18, No. 5, 833-847 (2012). Reviewer: Jacques Sauloy (Toulouse) MSC: 39A13 33D52 PDFBibTeX XMLCite \textit{J. Arvesú} and \textit{C. Esposito}, J. Difference Equ. Appl. 18, No. 5, 833--847 (2012; Zbl 1256.39006) Full Text: DOI arXiv
Işik, Osman Raşit; Güney, Zekeriya; Sezer, Mehmet Bernstein series solutions of pantograph equations using polynomial interpolation. (English) Zbl 1243.34117 J. Difference Equ. Appl. 18, No. 3, 357-374 (2012). MSC: 34K60 34K28 65L60 PDFBibTeX XMLCite \textit{O. R. Işik} et al., J. Difference Equ. Appl. 18, No. 3, 357--374 (2012; Zbl 1243.34117) Full Text: DOI
Dimitrov, Dobromir T.; Kojouharov, Hristo V. Dynamically consistent numerical methods for general productive-destructive systems. (English) Zbl 1230.65090 J. Difference Equ. Appl. 17, No. 12, 1721-1736 (2011). MSC: 65L12 65L05 34A34 92-08 65L20 PDFBibTeX XMLCite \textit{D. T. Dimitrov} and \textit{H. V. Kojouharov}, J. Difference Equ. Appl. 17, No. 12, 1721--1736 (2011; Zbl 1230.65090) Full Text: DOI
Groza, Ghiocel; Pop, Nicolae Approximate solution of multipoint boundary value problems for linear differential equations by polynomial functions. (English) Zbl 1160.34010 J. Difference Equ. Appl. 14, No. 12, 1289-1309 (2008). MSC: 34B10 34A45 41A10 41A58 65L10 65L60 34A30 PDFBibTeX XMLCite \textit{G. Groza} and \textit{N. Pop}, J. Difference Equ. Appl. 14, No. 12, 1289--1309 (2008; Zbl 1160.34010) Full Text: DOI
Dominici, Diego Asymptotic analysis of the Hermite polynomials from their differential-difference equation. (English) Zbl 1136.33003 J. Difference Equ. Appl. 13, No. 12, 1115-1128 (2007). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33C45 34E05 34E20 PDFBibTeX XMLCite \textit{D. Dominici}, J. Difference Equ. Appl. 13, No. 12, 1115--1128 (2007; Zbl 1136.33003) Full Text: DOI arXiv
Hilger, Stefan The discrete and periodic heat and harmonic oscillator equation. (English) Zbl 1132.39013 J. Difference Equ. Appl. 13, No. 8-9, 741-793 (2007). Reviewer: Zhibo Huang (Guangzhou) MSC: 39A12 34L40 35K05 42A16 33C45 PDFBibTeX XMLCite \textit{S. Hilger}, J. Difference Equ. Appl. 13, No. 8--9, 741--793 (2007; Zbl 1132.39013) Full Text: DOI