On the quantum theory of the natural transform and some applications

DOI10.1080/10236198.2018.1554063zbMath1414.44003OpenAlexW2910808461MaRDI QIDQ4626003

Shrideh K. Q. Al-Omari

Publication date: 26 February 2019

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

Full work available at URL: https://doi.org/10.1080/10236198.2018.1554063

zbMATH Keywords

\(q\)-Laplace transform\(q\)-Bessel function\(q\)-natural transformFox's \(H_q\)-functions

Mathematics Subject Classification ID

Laplace transform (44A10) Integral transforms of special functions (44A20) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Related Items (3)

Natural transform of two variables in \(q\)-calculus with applications ⋮ \(q\)-deformed conformable fractional natural transform ⋮ Unnamed Item

Cites Work

• Applications of the Mellin transform in quantum calculus
• On Sumudu transform and system of differential equations
• The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials
• An estimate of Sumudu transforms for boehmians
• 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
• Mellin transforms for some families of \(q\)-polynomials
• On the \(q\)-analog of the Laplace transform
• On integral representations of \(q\)-gamma and \(q\)-beta functions
• Wavelet Transforms in Quantum Calculus
• On q-Analogues of the Fourier and Hankel Transforms
• On q-analogues of the natural transform of certain q-Bessel functions and some application
• On q-Sumudu transforms of certain q-polynomials
• Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation
• Die mechanische Deutung einer geometrischen Differenzgleichung
• Quantum calculus
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