Polynomial solutions of q-Heun equation and ultradiscrete limit
DOI10.1080/10236198.2019.1619709zbMath1420.39006arXiv1809.01428OpenAlexW2890654899MaRDI QIDQ5222707
Kentaro Kojima, Kouichi Takemura, Tsukasa Sato
Publication date: 10 July 2019
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.01428
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference equations, scaling ((q)-differences) (39A13) Classical hypergeometric functions, ({}_2F_1) (33C05) Basic hypergeometric integrals and functions defined by them (33D60)
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