Some formulas involving q-Jacobi and related polynomials

DOI10.1007/BF01765312zbMath0679.33009MaRDI QIDQ1822668

Yanyan Li

Publication date: 1990

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

q-orthogonal polynomialsq-Jacobi polynomialsq-Gegenbauer polynomials

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Basic hypergeometric integrals and functions defined by them (33D60)

Cites Work

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• Self-reproducing kernels and bilinear formulas for q-orthogonal polynomials
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Rogers’ Linearization Formula for the Continuous q-Ultraspherical Polynomials and Quadratic Transformation Formulas
• Linearization and Related Formulas for q-Ultraspherical Polynomials
• Some Transformations of Basic Hypergeometric Functions. Part I
• Some Transformations of Basic Hypergeometric Functions. Part II
• On q-Analogues of the Watson and Whipple Summations
• Certain Summation Formulae for Basic Hypergeometric Series
• Certain q-Polynomial Expansions for Functions of Several Variables
• Some Orthogonal q‐Polynomials
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• On the Transformation Theory of Basic Hypergeometric Functions

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