Integral transforms involving a generalized \(k\)-Bessel function

DOI10.1515/dema-2022-0246OpenAlexW4389691688MaRDI QIDQ6184643

Hassen Aydi, Chun-Gil Park, Ghazi S. Khammash, Tariq O. Salim, Noor N. Khattab

Publication date: 25 January 2024

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2022-0246

zbMATH Keywords

integral transforms\(k\)-gamma functiongeneralized \(k\)-Bessel function

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

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• On the \(k\)-gamma \(q\)-distribution
• Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus
• Recursion formulas for certain quadruple hypergeometric functions
• CERTAIN UNIFIED INTEGRAL FORMULAS INVOLVING THE GENERALIZED MODIFIED k-BESSEL FUNCTION OF FIRST KIND
• Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation
• q,k-Generalized Gamma and Beta Functions
• Certain Integral Transforms of Generalized k-Bessel Function
• Unified integral operator involving generalized Bessel-Maitland function
• The asymptotic expansion of integral functions defined by Taylor series

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