On the \(q\)-analogues of Srivastava's triple hypergeometric functions

DOI10.3390/AXIOMS2020085zbMath1301.33019OpenAlexW2084178748MaRDI QIDQ402302

Thomas Ernst

Publication date: 28 August 2014

Published in: Axioms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/axioms2020085

zbMATH Keywords

hypergeometric functionLauricella functionAppell functionEuler integral

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Generalized hypergeometric series, ({}_pF_q) (33C20) (q)-gamma functions, (q)-beta functions and integrals (33D05) Appell, Horn and Lauricella functions (33C65) Hypergeometric functions (33C99)

Related Items (2)

Foreword: Special issue: ``\(q\)-series and related topics in special functions and analytic number theory ⋮ On quadruple \(q\)-hypergeometric functions and diverse generalizations to \(n\) variables in the spirit of Exton

Cites Work

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• Integral representations for Srivastava's triple hypergeometric functions
• Decomposition formulas for some triple hypergeometric functions
• Some integrals representing triple hypergeometric functions
• Some relations between basic hypergeometric functions of two variables
• A Comprehensive Treatment of q-Calculus
• q-analogues of general reduction formulas by Buschman and Srivastava and an important q-operator reminding of MacRobert
• The different tongues of q-calculus
• A Method for q-Calculus
• Regions of Convergence for Hypergeometric Series in Three Variables.
• ON BASIC DOUBLE HYPERGEOMETRIC FUNCTIONS

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