On certain basic hypergeometric series identities and \(q\)-exponential operators

MaRDI QIDQ6665894

S. Ahmad Ali, Saloni Kushvaha

Publication date: 17 January 2025

Published in: Gaṇita (Search for Journal in Brave)

zbMATH Keywords

basic hypergeometric series\(q\)-exponential operator\(q\)-differential operatorparameter augmentation\(q\)-shift operator

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30)

Cites Work

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• Parameter augmentation for two formulas
• More on the umbral calculus, with emphasis on the \(q\)-umbral calculus
• Certain transformations of basic hypergeometric series and their applications
• The umbral calculus
• Parameter augmentation for basic hypergeometric series. II
• Some operator identities and \(q\)-series transformation formulas
• Two operator identities and their applications to terminating basic hypergeometric series and \(q\)-integrals
• Parameter augmentation for basic hypergeometric series by Cauchy operator
• CAUCHY AUGMENTATION FOR BASIC HYPERGEOMETRIC SERIES
• On the Foundations of Combinatorial Theory IV Finite Vector Spaces and Eulerian Generating Functions
• On the Foundations of Combinatorial Theory V, Eulerian Differential Operators

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