Certain fractional integral operators pertaining to S-function

DOI10.1080/25742558.2020.1781506zbMath1486.26013OpenAlexW3037569748MaRDI QIDQ5133996

D. L. Suthar

Publication date: 11 November 2020

Published in: Cogent Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/25742558.2020.1781506

zbMATH Keywords

beta functionWhittaker transformgeneralized fractional integralK-transformK-functionS-function

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 (2)

Euler-type integral operator involving \(\mathcal{S} \)-function ⋮ Estimates of classes of generalized special functions and their application in the fractional \((k, s)\)-calculus theory

Cites Work

• Integral operators involving H-function
• Generalized fractional integral operators involving Mittag-Leffler function
• Generalized fractional calculus formulas for a product of Mittag-Leffler function and multivariable polynomials
• Fractional integral and derivative formulas by using Marichev-Saigo-Maeda operators involving the S-function
• Application of fractional operators in modelling for charge carrier transport in amorphous semiconductor with multiple trapping
• The H-Function
• The G and H Functions as Symmetrical Fourier Kernels
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