On the complex difference equation of hypergeometric type on non-uniform lattices

DOI10.1007/s10114-020-9258-8zbMath1440.39007arXiv1812.10591OpenAlexW3019529012MaRDI QIDQ2184630

Jin-Fa Cheng

Publication date: 29 May 2020

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.10591

zbMATH Keywords

orthogonal polynomialsadjoint equationspecial functiondifference equation of hypergeometric typenon-uniform lattice

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other functions coming from differential, difference and integral equations (33E30) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Special functions in characteristic (p) (gamma functions, etc.) (33E50) Difference equations in the complex domain (39A45)

Related Items (1)

Fractional sum and fractional difference on non-uniform lattices and analogue of Euler and Cauchy beta formulas

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