Onq-Laplace type integral operators and their applications

DOI10.1080/10236198.2010.540572zbMath1257.33046OpenAlexW2109703919MaRDI QIDQ2895660

Faruk Uçar, Durmuş Albayrak

Publication date: 4 July 2012

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2010.540572

zbMATH Keywords

\(q\)-calculus\(q\)-gamma function\(q\)-Laplace transform\(_{q}{\mathcal{L}}_{2}\)-transform\(_{q}L_{2}\)-transform

Mathematics Subject Classification ID

Laplace transform (44A10) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic hypergeometric integrals and functions defined by them (33D60)

Related Items (7)

Estimates and properties of certain \(q\)-Mellin transform on generalized \(q\)-calculus theory ⋮ \(q\)-deformed conformable fractional natural transform ⋮ Certain results related to the \(N\)-transform of a certain class of functions and differential operators ⋮ Some results for Laplace-type integral operator in quantum calculus ⋮ The $q$-analogue of the $E_{2;1}$-transform and its applications ⋮ \(q\)-analogues and properties of the Laplace-type integral operator in the quantum calculus theory ⋮ On the \(q\)-analog of the Laplace transform

Cites Work

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• Operatormethoden für q-identitäten
• A Parseval-Goldstein type theorem on the Widder potential transform and its applications
• New identities involving the Laplace and the \({\mathcal L}_2\)-transforms and their applications
• Theorems on L ₂ -transform and its applications
• Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation

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