FRACTIONALCALCULUSOPERATORSOFTHEGENERALIZED EXTENDEDMITTAG-LEFFLERFUNCTIONANDRELATED JACOBITRANSFORMS

DOI10.56827/seajmms.2023.1902.10OpenAlexW4390593734MaRDI QIDQ6123849

Purnima Chopra, Hemlata Saxena, Unnamed Author

Publication date: 8 April 2024

Published in: South East Asian Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.56827/seajmms.2023.1902.10

zbMATH Keywords

generalized hypergeometric functionFox-Wright functionfractional calculus operatorsextended Mittag-Leffler functionGegenbauer and Legendre transforms

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Elementary functions (26A09) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Cites Work

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• Extension of Euler's beta function
• Extended hypergeometric and confluent hypergeometric functions
• On extended Hurwitz-Lerch zeta function
• On properties and applications of \((p, q)\)-extended \(\tau\)-hypergeometric functions
• Chebyshev type inequality containing a fractional integral operator with a multi-index Mittag-Leffler function as a kernel
• Extended Mittag-Leffler function and associated fractional calculus operators
• The new Mittag-Leffler function and its applications
• Fractional integration and differentiation of the generalized Mathieu series
• \((p,q)\)-extended Bessel and modified Bessel functions of the first kind
• A new generalization of Mittag-Leffler function via \(q\)-calculus
• The H-Function
• On an extension of extended beta and hypergeometric functions
• On p–extended Mathieu series
• m‐Parameter Mittag–Leffler function, its various properties, and relation with fractional calculus operators
• MATHIEU-TYPE SERIES BUILT BY (p, q)-EXTENDED GAUSSIAN HYPERGEOMETRIC FUNCTION
• Operators of fractional integration and their applications

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