The search for differential equations for certain sets of orthogonal polynomials
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Publication:1318394
DOI10.1016/0377-0427(93)90141-WzbMath0796.34013arXivmath/9908142MaRDI QIDQ1318394
Publication date: 27 April 1994
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9908142
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Ordinary differential equations of infinite order (34A35)
Related Items (14)
Orthogonal functions satisfying a second-order differential equation. ⋮ Two point masses perturbation of regular moment functionals ⋮ Differential equations having orthogonal polynomial solutions ⋮ Differential equations and Sobolev orthogonality ⋮ On Sobolev orthogonal polynomials ⋮ Differential equations of infinite order for Sobolev-type orthogonal polynomials ⋮ On differential equations for Sobolev-type Laguerre polynomials ⋮ Orthogonal polynomial solutions of linear ordinary differential equations ⋮ Differential operators having Sobolev-type Laguerre polynomials as eigenfunctions: New developments ⋮ Differential Equations for Symmetric Generalized Ultraspherical Polynomials ⋮ Sobolev Orthogonal Polynomials and Spectral Differential Equations ⋮ On the differential equation for the Laguerre-Sobolev polynomials ⋮ Differential and difference operators having orthogonal polynomials with two linear perturbations as eigenfunctions ⋮ Differential equations for discrete Laguerre-Sobolev orthogonal polynomials
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