Multiple orthogonal polynomials associated with confluent hypergeometric functions

DOI10.1016/j.jat.2020.105484zbMath1453.33006arXiv2001.06820OpenAlexW3089155537MaRDI QIDQ2209300

Hélder Lima, Ana F. Loureiro

Publication date: 30 October 2020

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06820

zbMATH Keywords

Rodrigues formulaconfluent hypergeometric functionmultiple orthogonal polynomialsNikishin systemgeneralised hypergeometric series2-orthogonal polynomials3-fold symmetricHahn-classical

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) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (2)

Multiple orthogonal polynomials with respect to Gauss' hypergeometric function ⋮ Multiple orthogonal polynomials associated with the exponential integral

Uses Software

• DLMF

Cites Work

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