scientific article; zbMATH DE number 6924624

DOI10.4134/CKMS.c170056zbMath1396.26009MaRDI QIDQ4582692

Gurmej Singh, Mehar Chand, Junesang Choi, Praveen Agarwal

Publication date: 24 August 2018

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Laplace transform\(k\)-gamma functionbeta transformFox-Wright functionWhittaker transform\(k\)-Pochhammer symbolgeneralized \(k\)-Bessel functionSaigo hypergeometric fractional integral operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other hypergeometric functions and integrals in several variables (33C70) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (9)

Existence of positive solution to the boundary value problems for coupled system of nonlinear fractional differential equations ⋮ Fractional operators with generalized Mittag-Leffler \(k\)-function ⋮ Unnamed Item ⋮ Unified approach to fractional calculus images involving the pathway transform of extended \(k\)-gamma function and applications ⋮ On generalized Bessel-Maitland function ⋮ Certain fractional formulas of the extended \(k\)-hypergeometric functions ⋮ Investigation for the k -analogue of τ -Gauss hypergeometric matrix functions and associated fractional calculus ⋮ Generalized fractional integral formulas for the \(k\)-Bessel function ⋮ Certain Fractional Integral and Differential Formulas Involving the Extended Incomplete Generalized Hypergeometric Functions

Cites Work

• Some fractional-calculus results for the \(\overline H\)-function associated with a class of Feynman integrals
• Fractional integrals and solution of fractional kinetic equations involving \(k\)-Mittag-Leffler function
• Generalized fractional integration of Bessel function of the first kind
• All the special functions are fractional differintegrals of elementary functions
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