On the use of Mellin transform to a class of \(q\)-difference-differential equations

DOI10.1016/S0375-9601(00)00191-2zbMath0946.34057arXivmath-ph/0004028OpenAlexW3098887816MaRDI QIDQ1569625

Choon-Lin Ho

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0004028

zbMATH Keywords

\(q\)-difference-differential equations

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) General theory of functional-differential equations (34K05) Difference equations, scaling ((q)-differences) (39A13)

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Cites Work

• Symmetries of the \(q\)-difference heat equation
• Symmetries of the heat equation on the lattice
• On the quantum group and quantum algebra approach to \(q\)-special functions
• Symmetries and conditional symmetries of differential-difference equations
• On q-Analogues of the Fourier and Hankel Transforms
• Quantum symmetries of q-difference equations
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