Some new \(q\)-versions of Ramanujan's master theorem

DOI10.1007/s11785-022-01320-wOpenAlexW4312222271MaRDI QIDQ2111765

Kamel Brahim, Hédi Ben Elmonser

Publication date: 17 January 2023

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-022-01320-w

zbMATH Keywords

Ramanujan's master theorem\(q\)-special functions\(q\)-two dimensional Mellin transform

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic hypergeometric integrals and functions defined by them (33D60) Representations of entire functions of one complex variable by series and integrals (30D10) Analytic continuation of functions of one complex variable (30B40)

Cites Work

• The Mellin transform in quantum calculus
• Two dimensional Mellin transform in quantum calculus
• On some \(q\)-versions of the Ramanujan master theorem
• The Mellin type of double integral
• The q-Mellin transform of automorphic forms and converse theorems
• Quantum calculus
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