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