Three-fold symmetric Hahn-classical multiple orthogonal polynomials

DOI10.1142/S0219530519500106zbMath1435.33011arXiv1901.01121OpenAlexW2949376950MaRDI QIDQ5220074

Ana F. Loureiro, Walter Van Assche

Publication date: 10 March 2020

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.01121

zbMATH Keywords

orthogonal polynomialsrecurrence relationconfluent hypergeometric functionlinear differential equationAiry functionmultiple orthogonal polynomialsHahn classical polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (10)

Multiple orthogonal polynomials with respect to Gauss' hypergeometric function ⋮ Hungry Lotka–Volterra lattice under nonzero boundaries, block‐Hankel determinant solution, and biorthogonal polynomials ⋮ On connection between zeros and d -orthogonality ⋮ Multiple orthogonal polynomials associated with confluent hypergeometric functions ⋮ Discrete Hahn-classicald-orthogonal polynomials ⋮ A generalized sextic Freud weight ⋮ Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials. II ⋮ On a new class of 2-orthogonal polynomials, I: the recurrence relations and some properties ⋮ 2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case ⋮ On the zeros of some d-orthogonal polynomials

Uses Software

• DLMF

Cites Work

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