Benamira, Wissem; Nasri, Ahmed; Ellaggoune, Fateh Operational rules for a new family of \(d\)-orthogonal polynomials of Laguerre type. (English) Zbl 07803291 Integral Transforms Spec. Funct. 35, No. 2, 77-94 (2024). MSC: 33C45 39A70 41A58 42C05 PDFBibTeX XMLCite \textit{W. Benamira} et al., Integral Transforms Spec. Funct. 35, No. 2, 77--94 (2024; Zbl 07803291) Full Text: DOI
Chen, Xiao-Min; Yan, An-Hui Hungry Lotka-Volterra lattice under nonzero boundaries, block-Hankel determinant solution, and biorthogonal polynomials. (English) Zbl 07771131 Stud. Appl. Math. 151, No. 3, 1097-1135 (2023). MSC: 81-XX 65-XX PDFBibTeX XMLCite \textit{X.-M. Chen} and \textit{A.-H. Yan}, Stud. Appl. Math. 151, No. 3, 1097--1135 (2023; Zbl 07771131) Full Text: DOI
Saib, Abdessadek On the quasi-orthogonality and Hahn-classical \(d\)-orthogonal polynomials. (English) Zbl 1525.33005 Integral Transforms Spec. Funct. 34, No. 10, 737-754 (2023). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33C20 33C47 42C05 PDFBibTeX XMLCite \textit{A. Saib}, Integral Transforms Spec. Funct. 34, No. 10, 737--754 (2023; Zbl 1525.33005) Full Text: DOI
Chaggara, H.; Boussorra, S. Operational rules and \(d\)-orthogonal polynomials of Laguerre type. (English) Zbl 07671547 Integral Transforms Spec. Funct. 34, No. 2, 145-161 (2023). MSC: 33C45 42C05 44A45 44A55 39A70 41A10 41A58 PDFBibTeX XMLCite \textit{H. Chaggara} and \textit{S. Boussorra}, Integral Transforms Spec. Funct. 34, No. 2, 145--161 (2023; Zbl 07671547) Full Text: DOI
Mesquita, Teresa Augusta Symbolic approach to 2-orthogonal polynomial solutions of a third order differential equation. (English) Zbl 07538973 Math. Comput. Sci. 16, No. 1, Paper No. 6, 21 p. (2022). MSC: 42C05 33C45 68W30 33-04 34L10 PDFBibTeX XMLCite \textit{T. A. Mesquita}, Math. Comput. Sci. 16, No. 1, Paper No. 6, 21 p. (2022; Zbl 07538973) Full Text: DOI
Bouzeffour, Fethi; Jedidi, Wissem \(C_\lambda\)-extended oscillator algebra and \(d\)-orthogonal polynomials. (English) Zbl 1491.42040 Int. J. Theor. Phys. 60, No. 3, 756-770 (2021). MSC: 42C05 33C47 81R12 PDFBibTeX XMLCite \textit{F. Bouzeffour} and \textit{W. Jedidi}, Int. J. Theor. Phys. 60, No. 3, 756--770 (2021; Zbl 1491.42040) Full Text: DOI arXiv
Chaggara, H.; Ayadi, N. Discrete Hahn-classical \(d\)-orthogonal polynomials. (English) Zbl 1514.33009 Integral Transforms Spec. Funct. 32, No. 5-8, 407-436 (2021). MSC: 33C45 39A70 PDFBibTeX XMLCite \textit{H. Chaggara} and \textit{N. Ayadi}, Integral Transforms Spec. Funct. 32, No. 5--8, 407--436 (2021; Zbl 1514.33009) Full Text: DOI
Mesquita, Teresa Augusta On a 2-orthogonal polynomial sequence via quadratic decomposition. (English) Zbl 1506.42035 Math. Comput. Sci. 15, No. 1, 15-31 (2021). MSC: 42C05 33C45 68W30 33-04 PDFBibTeX XMLCite \textit{T. A. Mesquita}, Math. Comput. Sci. 15, No. 1, 15--31 (2021; Zbl 1506.42035) Full Text: DOI arXiv
Marcellán, F.; Chaggara, H.; Ayadi, N. 2-orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case. (English) Zbl 1473.33005 J. Difference Equ. Appl. 27, No. 3, 431-452 (2021). Reviewer: Alexei Lukashov (Saratov) MSC: 33C45 39A70 PDFBibTeX XMLCite \textit{F. Marcellán} et al., J. Difference Equ. Appl. 27, No. 3, 431--452 (2021; Zbl 1473.33005) Full Text: DOI
Douak, Khalfa; Maroni, Pascal On a new class of 2-orthogonal polynomials. I: The recurrence relations and some properties. (English) Zbl 1467.33006 Integral Transforms Spec. Funct. 32, No. 2, 134-153 (2021). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Douak} and \textit{P. Maroni}, Integral Transforms Spec. Funct. 32, No. 2, 134--153 (2021; Zbl 1467.33006) Full Text: DOI
Branquinho, Amílcar; Huertas, Edmundo J. The symmetrization problem for multiple orthogonal polynomials. (English) Zbl 1460.33005 Marcellán, Francisco (ed.) et al., Orthogonal polynomials: current trends and applications. Proceedings of the 7th EIBPOA conference, Universidad Carlos III de Madrid, Leganés, Spain, July 3–6, 2018. Cham: Springer. SEMA SIMAI Springer Ser. 22, 17-51 (2021). MSC: 33C45 39B42 PDFBibTeX XMLCite \textit{A. Branquinho} and \textit{E. J. Huertas}, SEMA SIMAI Springer Ser. 22, 17--51 (2021; Zbl 1460.33005) Full Text: DOI arXiv
Lima, Hélder; Loureiro, Ana Multiple orthogonal polynomials associated with confluent hypergeometric functions. (English) Zbl 1453.33006 J. Approx. Theory 260, Article ID 105484, 36 p. (2020). Reviewer: Francisco Marcellán (Leganes) MSC: 33C45 33C10 33C15 33C20 42C05 PDFBibTeX XMLCite \textit{H. Lima} and \textit{A. Loureiro}, J. Approx. Theory 260, Article ID 105484, 36 p. (2020; Zbl 1453.33006) Full Text: DOI arXiv
Loureiro, Ana F.; Van Assche, Walter Three-fold symmetric Hahn-classical multiple orthogonal polynomials. (English) Zbl 1435.33011 Anal. Appl., Singap. 18, No. 2, 271-332 (2020). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. F. Loureiro} and \textit{W. Van Assche}, Anal. Appl., Singap. 18, No. 2, 271--332 (2020; Zbl 1435.33011) Full Text: DOI arXiv
Saib, Abdessadek On Mittag-Leffler \(d\)-orthogonal polynomials. (English) Zbl 1431.42049 Mediterr. J. Math. 17, No. 1, Paper No. 19, 19 p. (2020). MSC: 42C05 33C45 39A10 PDFBibTeX XMLCite \textit{A. Saib}, Mediterr. J. Math. 17, No. 1, Paper No. 19, 19 p. (2020; Zbl 1431.42049) Full Text: DOI arXiv
Ben Cheikh, Youssèf; Gam, Inès \(L\)-classical \(d\)-orthogonal polynomial sets of Sheffer type. (English) Zbl 1513.42104 Filomat 33, No. 3, 881-895 (2019). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{Y. Ben Cheikh} and \textit{I. Gam}, Filomat 33, No. 3, 881--895 (2019; Zbl 1513.42104) Full Text: DOI
Mesquita, T. Augusta; Maroni, P. Around operators not increasing the degree of polynomials. (English) Zbl 1417.42028 Integral Transforms Spec. Funct. 30, No. 5, 383-399 (2019). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 42C05 33C45 33D45 PDFBibTeX XMLCite \textit{T. A. Mesquita} and \textit{P. Maroni}, Integral Transforms Spec. Funct. 30, No. 5, 383--399 (2019; Zbl 1417.42028) Full Text: DOI arXiv
da Rocha, Zélia On connection coefficients of some perturbed of arbitrary order of the Chebyshev polynomials of second kind. (English) Zbl 1407.33012 J. Difference Equ. Appl. 25, No. 1, 97-118 (2019). MSC: 33C45 33D45 42C05 PDFBibTeX XMLCite \textit{Z. da Rocha}, J. Difference Equ. Appl. 25, No. 1, 97--118 (2019; Zbl 1407.33012) Full Text: DOI arXiv
Magnus, Alphonse P. Gaussian integration formulas for logarithmic weights and application to 2-dimensional solid-state lattices. (English) Zbl 1386.65096 J. Approx. Theory 228, 21-57 (2018). Reviewer: Antonio López Carmona (Granada) MSC: 65D32 65D30 42C10 42A16 42C05 PDFBibTeX XMLCite \textit{A. P. Magnus}, J. Approx. Theory 228, 21--57 (2018; Zbl 1386.65096) Full Text: DOI
Cheikh, Youssèf Ben; Gam, Inès On some operators varying the dimensional parameters of \(d\)-orthogonality. (English) Zbl 1351.33009 Integral Transforms Spec. Funct. 27, No. 9, 731-746 (2016). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{Y. B. Cheikh} and \textit{I. Gam}, Integral Transforms Spec. Funct. 27, No. 9, 731--746 (2016; Zbl 1351.33009) Full Text: DOI
Aptekarev, Alexander I.; Derevyagin, Maxim; Miki, Hiroshi; Van Assche, Walter Multidimensional Toda lattices: continuous and discrete time. (English) Zbl 1341.42042 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 054, 30 p. (2016). Reviewer: Ma Wen-Xiu (Tampa) MSC: 42C05 37K10 39A14 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 054, 30 p. (2016; Zbl 1341.42042) Full Text: DOI arXiv
Lamiri, Imed; Ouni, Abdelwaheb \(d\)-orthogonality and \(q\)-Askey-scheme. (English) Zbl 1339.33021 Georgian Math. J. 23, No. 2, 239-252 (2016). MSC: 33D45 42C05 PDFBibTeX XMLCite \textit{I. Lamiri} and \textit{A. Ouni}, Georgian Math. J. 23, No. 2, 239--252 (2016; Zbl 1339.33021) Full Text: DOI
Mesquita, T. Augusta; Maroni, P. Two-orthogonal polynomial sequences as eigenfunctions of a third-order differential operator. (English) Zbl 1346.42035 Mediterr. J. Math. 13, No. 2, 687-701 (2016). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 42C05 16R60 33C45 PDFBibTeX XMLCite \textit{T. A. Mesquita} and \textit{P. Maroni}, Mediterr. J. Math. 13, No. 2, 687--701 (2016; Zbl 1346.42035) Full Text: DOI
Filipuk, Galina; Haneczok, Maciej; Van Assche, Walter Computing recurrence coefficients of multiple orthogonal polynomials. (English) Zbl 1328.65265 Numer. Algorithms 70, No. 3, 519-543 (2015). Reviewer: Manfred Tasche (Rostock) MSC: 65Q30 42C05 65D20 33F05 PDFBibTeX XMLCite \textit{G. Filipuk} et al., Numer. Algorithms 70, No. 3, 519--543 (2015; Zbl 1328.65265) Full Text: DOI arXiv Link
Saib, Abdessadek On semi-classical \(d\)-orthogonal polynomials. (English) Zbl 1432.33010 Math. Nachr. 286, No. 17-18, 1863-1885 (2013). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. Saib}, Math. Nachr. 286, No. 17--18, 1863--1885 (2013; Zbl 1432.33010) Full Text: DOI
Lamiri, Imed \(d\)-orthogonality of discrete \(q\)-Hermite type polynomials. (English) Zbl 1284.33013 J. Approx. Theory 170, 116-133 (2013). Reviewer: Jeremy Lovejoy (Paris) MSC: 33D45 33D15 PDFBibTeX XMLCite \textit{I. Lamiri}, J. Approx. Theory 170, 116--133 (2013; Zbl 1284.33013) Full Text: DOI
Draux, André; Sadik, Mohamed Generalized \(qd\) algorithm for block band matrices. (English) Zbl 1323.65032 Numer. Algorithms 61, No. 3, 377-396 (2012). MSC: 65F15 65F50 65B05 PDFBibTeX XMLCite \textit{A. Draux} and \textit{M. Sadik}, Numer. Algorithms 61, No. 3, 377--396 (2012; Zbl 1323.65032) Full Text: DOI
Ben Cheikh, Y.; Ben Romdhane, N. On \(d\)-symmetric classical \(d\)-orthogonal polynomials. (English) Zbl 1261.42040 J. Comput. Appl. Math. 236, No. 1, 85-93 (2011). Reviewer: Slim Omri (Nabeul) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{Y. Ben Cheikh} and \textit{N. Ben Romdhane}, J. Comput. Appl. Math. 236, No. 1, 85--93 (2011; Zbl 1261.42040) Full Text: DOI
Ben Cheikh, Y.; Lamiri, I.; Ouni, A. \(d\)-orthogonality of little \(q\)-Laguerre type polynomials. (English) Zbl 1232.33028 J. Comput. Appl. Math. 236, No. 1, 74-84 (2011). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33D45 42C05 PDFBibTeX XMLCite \textit{Y. Ben Cheikh} et al., J. Comput. Appl. Math. 236, No. 1, 74--84 (2011; Zbl 1232.33028) Full Text: DOI
Ben Cheikh, Y.; Gaied, M. A characterization of Dunkl-classical \(d\)-symmetric \(d\)-orthogonal polynomials and its applications. (English) Zbl 1233.33003 J. Comput. Appl. Math. 236, No. 1, 49-64 (2011). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{Y. Ben Cheikh} and \textit{M. Gaied}, J. Comput. Appl. Math. 236, No. 1, 49--64 (2011; Zbl 1233.33003) Full Text: DOI
Van Assche, Walter Nearest neighbor recurrence relations for multiple orthogonal polynomials. (English) Zbl 1231.33014 J. Approx. Theory 163, No. 10, 1427-1448 (2011). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{W. Van Assche}, J. Approx. Theory 163, No. 10, 1427--1448 (2011; Zbl 1231.33014) Full Text: DOI arXiv
Branquinho, Amílcar; Cotrim, Luis; Foulquié Moreno, Ana Matrix interpretation of multiple orthogonality. (English) Zbl 1200.41012 Numer. Algorithms 55, No. 1, 19-37 (2010). Reviewer: George Stoica (Saint John) MSC: 41A21 PDFBibTeX XMLCite \textit{A. Branquinho} et al., Numer. Algorithms 55, No. 1, 19--37 (2010; Zbl 1200.41012) Full Text: DOI Link
Lamiri, I.; Ouni, A. \(d\)-Orthogonality of Hermite type polynomials. (English) Zbl 1154.33004 Appl. Math. Comput. 202, No. 1, 24-43 (2008). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C45 33C20 33C47 PDFBibTeX XMLCite \textit{I. Lamiri} and \textit{A. Ouni}, Appl. Math. Comput. 202, No. 1, 24--43 (2008; Zbl 1154.33004) Full Text: DOI
Lamiri, I.; Ouni, A. \(d\)-orthogonality of Humbert and Jacobi type polynomials. (English) Zbl 1218.33011 J. Math. Anal. Appl. 341, No. 1, 24-51 (2008). MSC: 33C45 PDFBibTeX XMLCite \textit{I. Lamiri} and \textit{A. Ouni}, J. Math. Anal. Appl. 341, No. 1, 24--51 (2008; Zbl 1218.33011) Full Text: DOI
Ben Cheikh, Y.; Zaghouani, A. \(d\)-orthogonality via generating functions. (English) Zbl 1119.42009 J. Comput. Appl. Math. 199, No. 1, 2-22 (2007). Reviewer: Ajendra Nath Srivastava (Puna) MSC: 42C05 33C45 33C47 33C05 PDFBibTeX XMLCite \textit{Y. Ben Cheikh} and \textit{A. Zaghouani}, J. Comput. Appl. Math. 199, No. 1, 2--22 (2007; Zbl 1119.42009) Full Text: DOI
Ebtissem, Zerouki; Ammar, Boukhemis On the \(2\)-orthogonal polynomials and the generalized birth and death processes. (English) Zbl 1129.60077 Int. J. Math. Math. Sci. 2006, No. 7, 28131, 12 p. (2006). Reviewer: Annette Kopp-Schneider (Heidelberg) MSC: 60J80 PDFBibTeX XMLCite \textit{Z. Ebtissem} and \textit{B. Ammar}, Int. J. Math. Math. Sci. 2006, No. 7, 28131, 12 p. (2006; Zbl 1129.60077) Full Text: DOI EuDML
Kokonendji, Célestin C. On \(d\)-orthogonality of the Sheffer systems associated to a convolution semigroup. (English) Zbl 1082.60008 J. Comput. Appl. Math. 181, No. 1, 83-91 (2005). Reviewer: Ludwig Paditz (Dresden) MSC: 60E05 60E10 60G51 42C05 PDFBibTeX XMLCite \textit{C. C. Kokonendji}, J. Comput. Appl. Math. 181, No. 1, 83--91 (2005; Zbl 1082.60008) Full Text: DOI
Van Assche, Walter; Coussement, Els Some classical multiple orthogonal polynomials. (English) Zbl 0969.33005 J. Comput. Appl. Math. 127, No. 1-2, 317-347 (2001). Reviewer: Marcel G.de Bruin (Delft) MSC: 33C45 PDFBibTeX XMLCite \textit{W. Van Assche} and \textit{E. Coussement}, J. Comput. Appl. Math. 127, No. 1--2, 317--347 (2001; Zbl 0969.33005) Full Text: DOI arXiv
Boukhemis, Ammar A study of a sequence of classical orthogonal polynomials of dimension 2. (English) Zbl 0885.42015 J. Approximation Theory 90, No. 3, 435-454 (1997). Reviewer: M.G.de Bruin (Delft) MSC: 42C05 33C45 33C20 PDFBibTeX XMLCite \textit{A. Boukhemis}, J. Approx. Theory 90, No. 3, 435--454 (1997; Zbl 0885.42015) Full Text: DOI
Douak, K.; Maroni, P. On \(d\)-orthogonal Tchebychev polynomials. I. (English) Zbl 0881.33024 Appl. Numer. Math. 24, No. 1, 23-53 (1997). Reviewer: J.P.Singhal (Baroda) MSC: 33D45 PDFBibTeX XMLCite \textit{K. Douak} and \textit{P. Maroni}, Appl. Numer. Math. 24, No. 1, 23--53 (1997; Zbl 0881.33024) Full Text: DOI
Douak, Khalfa The relation of the \(d\)-orthogonal polynomials to the Appell polynomials. (English) Zbl 0863.33007 J. Comput. Appl. Math. 70, No. 2, 279-295 (1996). Reviewer: V.L.Deshpande (Amalner) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Douak}, J. Comput. Appl. Math. 70, No. 2, 279--295 (1996; Zbl 0863.33007) Full Text: DOI