New results involving a certain class of \(q\)-orthogonal polynomials

DOI10.1016/0022-247X(92)90300-3zbMath0752.33008OpenAlexW2090323636MaRDI QIDQ1191794

S. Singh

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90300-3

zbMATH Keywords

summation formulasChristoffel-Darboux formula\(q\)-Laguerre polynomials\(q\)-Racah polynomials\(q\)-Konhauser polynomialsbilinear generating functionBrafman type generating function

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) (q)-gamma functions, (q)-beta functions and integrals (33D05) Basic hypergeometric integrals and functions defined by them (33D60)

Related Items (3)

Some results for \(q\)-functions of many variables ⋮ Some properties of \(q\)-biorthogonal polynomials ⋮ Unnamed Item

Cites Work

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• A pair of biorthogonal sets of polynomials
• q-Konhauser polynomials
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• On the Zeros of the Askey–Wilson Polynomials, with Applications to Coding Theory
• A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ Symbols
• The Basic Bessel Functions and Polynomials
• A q-EXTENSION OF CAUCHY'S FORM OF THE BETA INTEGRAL
• Theq-Gamma andq-Beta Functions†
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• On the Transformation Theory of Basic Hypergeometric Functions

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