scientific article; zbMATH DE number 7527872

zbMath1499.33069MaRDI QIDQ5076544

Mohd Saif, Junesang Choi, Tabinda Nahid

Publication date: 17 May 2022

Full work available at URL: http://rsmams.org/journals/articleinfo.php?articleid=567&tag=seajmams

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zbMATH Keywords

Laplace transform\(q\)-gamma functionsSumudu transformnatural transform\(q\)-Laplace transforms\(q\)-Sumudu transforms\(q\)-Humbert functions\(q\)-natural transforms

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Basic hypergeometric integrals and functions defined by them (33D60)

Cites Work

• Sumudu transform fundamental properties investigations and applications
• Some results for Laplace-type integral operator in quantum calculus
• Analytical investigations of the Sudumu transform and applications to integral production equations
• \(q\)-analogues and properties of the Laplace-type integral operator in the quantum calculus theory
• On integral representations of \(q\)-gamma and \(q\)-beta functions
• On Humbert functions
• The \(q\)-Sumudu transform and its certain properties in a generalized \(q\)-calculus theory
• Sumudu transform and the solution of integral equations of convolution type
• On q-analogues of the natural transform of certain q-Bessel functions and some application
• Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation
• Quantum calculus
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