The pathway fractional integrals of incomplete \(I\)-functions

DOI10.1007/S40819-020-00902-6zbMath1468.33004OpenAlexW3088112100MaRDI QIDQ2026848

S. Joshi, N. K. Jangid, Dumitru Baleanu, Sunil Dutt Purohit

Publication date: 21 May 2021

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-020-00902-6

zbMATH Keywords

Riemann-Liouville fractional integral operatorincomplete \(H\)-functionspathway fractional integral operatorincomplete \(\overline{H} \)-functionsincomplete \(\overline{I} \)-functionsincomplete \(I\)-functions

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) (q)-gamma functions, (q)-beta functions and integrals (33D05) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Cites Work

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• On generalized distributions and pathways
• Some families of the incomplete \(H\)-functions and the incomplete \(\overline H \)-functions and associated integral transforms and operators of fractional calculus with applications
• A pathway to matrix-variate gamma and normal densities
• Some fractional calculus findings associated with the incomplete \(I\)-functions
• Some new results for the Srivastava-Luo-Raina \(\mathbb{M}\)-transform pertaining to the incomplete \(H\)-functions
• A note on pathway fractional integral formulas associated with the incomplete \(H\)-functions
• Generalized k-Mittag-Leffler function and its composition with pathway integral operators
• The incomplete Pochhammer symbols and their applications to hypergeometric and related functions
• The G and H Functions as Symmetrical Fourier Kernels
• A new generalization of generalized hypergeometric functions
• INCOMPLETE EXTENDED HURWITZ-LERCH ZETA FUNCTIONS AND ASSOCIATED PROPERTIES
• Certain Inequalities Involving Pathway Fractional Integral Operators

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