A new identity for the sum of products of the generalized basic hypergeometric functions

DOI10.1007/s11139-022-00598-warXiv2009.14694OpenAlexW4288058192MaRDI QIDQ6098220

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Publication date: 13 June 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.14694

zbMATH Keywords

residue theorembasic hypergeometric functionduality relationbasic hypergeometric identity

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Cites Work

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• A short proof of duality relations for hypergeometric functions
• New identities for a sum of products of the Kummer functions
• Three-term relations for basic hypergeometric series
• A Comprehensive Treatment of q-Calculus
• Three Term Relations for the Hypergeometric Series
• A new identity for the sum of products of the generalized hypergeometric functions
• A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials
• Duality relations for hypergeometric series
• Quantum calculus