A reduction formula for a \(q\)-beta integral

DOI10.1186/s13662-016-0812-8zbMath1350.33025OpenAlexW2308341911WikidataQ59437659 ScholiaQ59437659MaRDI QIDQ307382

Maryam A. Al-Towailb, Zeinab S. Mansour

Publication date: 1 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0812-8

zbMATH Keywords

basic hypergeometric series\(q\)-beta integralcontiguous relations

Mathematics Subject Classification ID

(q)-gamma functions, (q)-beta functions and integrals (33D05)

Cites Work

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• \(q\)-fractional calculus and equations
• Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. II: Associated big \(q\)-Jacobi polynomials
• Contiguous relations of hypergeometric series
• Generalized orthogonality and continued fractions
• On the contiguous relations of hypergeometric series
• Theq-Gamma andq-Beta Functions†
• Computational Aspects of Three-Term Recurrence Relations
• A Reduction Formula
• Contiguous Hypergeometric Functions of the Type ₃F₂(1)

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