Ramanujan-type continuous measures for classical \(q\)-polynomials

DOI10.1007/BF02070870zbMath0898.33012MaRDI QIDQ1379193

Natig M. Atakishiyev

Publication date: 1 March 1998

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

\(p\)-Hermite polynomialsRamanujan-type measures

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) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Applications of basic hypergeometric functions (33D90)

Cites Work

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• Orthogonal polynomials and some q-beta integrals of Ramanujan
• Asymptotic and generating relations for the q-Jacobi and //\(4Phi_ 3\) polynomials
• On classical orthogonal polynomials
• Convolutions of Orthonormal Polynomials
• A simple difference realization of the Heisenberg q-algebra
• q-Hermite Polynomials, Biorthogonal Rational Functions, and q-Beta Integrals
• On the Rogers-Szego polynomials
• q-Hermite Polynomials and Classical Orthogonal Polynomials