Generalized fractional integral formulas for the \(k\)-Bessel function

DOI10.1155/2018/5198621zbMath1487.33003OpenAlexW2890049324MaRDI QIDQ1728865

D. L. Suthar, Mengesha Ayene

Publication date: 26 February 2019

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/5198621

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (6)

Certain \(k\)-fractional calculus operators and image formulas of \(k\)-Struve function ⋮ Unnamed Item ⋮ Solutions of fractional kinetic equation associated with the generalized multiindex Bessel function via Laplace transform ⋮ Investigation for the k -analogue of τ -Gauss hypergeometric matrix functions and associated fractional calculus ⋮ Class of integrals and applications of fractional kinetic equation with the generalized multi-index Bessel function ⋮ A study on generalized multivariable Mittag-Leffler function via generalized fractional calculus operators

Uses Software

• DLMF

Cites Work

• Generalized fractional integral operators involving Mittag-Leffler function
• Marichev-Saigo-Maeda fractional integration operators involving generalized Bessel functions
• Certain sequences involving product of k-Bessel function
• Certain fractional kinetic equations involving generalized \(k\)-Bessel function
• INTEGRAL REPRESENTATIONS OF THE k-BESSEL'S FUNCTION
• Generalized fractional integration of Bessel function of the first kind
• Some unified integrals associated with generalized struve function
• The Asymptotic Expansion of the Generalized Hypergeometric Function
• The asymptotic expansion of integral functions defined by Taylor series
• The Asymptotic Expansion of the Generalized Hypergeometric Function
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