Some fractional calculus findings associated with the incomplete \(I\)-functions

DOI10.1186/s13662-020-02725-7zbMath1482.26009OpenAlexW3033511049MaRDI QIDQ2078465

Yanyan Li

Publication date: 28 February 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02725-7

zbMATH Keywords

incomplete gamma functionsfractional calculus operatorsincomplete \(I\)-functionsMellin-Barnes-type contour

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) General spectral theory of ordinary differential operators (34L05) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (7)

A new application of the Sumudu transform for the falling body problem ⋮ Some expansion formulas for incomplete \(H\)- and \(\overline{H}\)-functions involving Bessel functions ⋮ Fractional calculus and integral transforms of the product of a general class of polynomial and incomplete Fox-Wright functions ⋮ Riemann–Liouville fractional operators of bicomplex order and its properties ⋮ Fractional differential equations related to an integral operator involving the incomplete I‐function as a kernel ⋮ Unnamed Item ⋮ The pathway fractional integrals of incomplete \(I\)-functions

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