Integral transforms of an extended generalized multi-index Bessel function

DOI10.3934/math.2020482zbMath1484.44007OpenAlexW3089071457MaRDI QIDQ2132308

Iqra Nayab, Gauhar Rahman, Shahid Mubeen, Rana Safdar Ali, Thabet Abdeljawad, Kottakkaran Sooppy Nisar

Publication date: 27 April 2022

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

Full work available at URL: https://doi.org/10.3934/math.2020482

zbMATH Keywords

Appell functionfractional integrals and derivativesextended beta transformextended multi-index Bessel function

Mathematics Subject Classification ID

Integral transforms of special functions (44A20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Appell, Horn and Lauricella functions (33C65) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items

Generalized Hermite-Hadamard-type integral inequalities for \(h\)-Godunova-Levin functions ⋮ Estimation of generalized fractional integral operators with nonsingular function as a kernel ⋮ On Hankel transforms of generalized Bessel matrix polynomials ⋮ Dynamical significance of generalized fractional integral inequalities via convexity

Uses Software

• DLMF

Cites Work

• Extended hypergeometric and confluent hypergeometric functions
• Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus
• Computation of new class of integrals involving generalized Galue type Struve function
• Fractional operators with generalized Mittag-Leffler \(k\)-function
• The extended Mittag-Leffler function and its properties
• The generalized p-k-Mittag-Leffler function and solution of fractional kinetic equations
• CERTAIN NEW INTEGRAL FORMULAS INVOLVING THE GENERALIZED BESSEL FUNCTIONS
• A note on fractional integral operator associated with multiindex Mittag-Leffler functions
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