On the \(q\)-analog of the Laplace transform

DOI10.1134/S1061920814020034zbMath1311.44002arXiv1307.6752OpenAlexW2464518280MaRDI QIDQ2344149

Taekyun Kim, Won-Sang Chung, Hyuck In Kwon

Publication date: 12 May 2015

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.6752

Mathematics Subject Classification ID

Laplace transform (44A10)

Related Items (14)

ON q-DERANGEMENT NUMBERS AND POLYNOMIALS ⋮ Dedekind \(\eta\)-function identities of level 6 and an approach towards colored partitions ⋮ A novel exact solution for the fractional Ambartsumian equation ⋮ Askey-Wilson integral and its generalizations ⋮ The ARA transform in quantum calculus and its applications ⋮ Degenerate Laplace transform and degenerate gamma function ⋮ Hahn Laplace transform and its applications ⋮ On a system of q‐modified Laplace transform and its applications ⋮ On \(q\)-Laplace transforms ⋮ Some results on fractional Hahn difference boundary value problems ⋮ A note on the Barnes-type \(q\)-Euler polynomials ⋮ On the quantum theory of the natural transform and some applications ⋮ STARLIKENESS OF q-DIFFERENTIAL OPERATOR INVOLVING QUANTUM CALCULUS ⋮ On a system of \(q\)-Laplace transform of two variables with applications

Cites Work

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• Some identities on the \(q\)-integral representation of the product of several \(q\)-Bernstein-type polynomials
• \(q\)-extension of the Euler formula and trigonometric functions
• On a \(q\)-analog of the Baskakov basis functions
• Onq-Laplace type integral operators and their applications
• q,k-Generalized Gamma and Beta Functions

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