scientific article; zbMATH DE number 7709868
zbMath1524.44008MaRDI QIDQ6168525
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Publication date: 11 July 2023
Full work available at URL: https://rsmams.org/journals/articleinfo.php?articleid=766&tag=seajmams
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fractional calculus operators\((p, q)\)-extended hypergeometric function\((p, q)\)-extended \(\tau \)-hypergeometric function
Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Integral transforms of special functions (44A20) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) 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
- Fractional integration and differentiation of the \((p, q)\)-extended \(\tau\)-hypergeometric function and related Jacobi transforms
- \((p,q)\)-extended Bessel and modified Bessel functions of the first kind
- Certain generalized fractional calculus formulas and integral transforms involving \((p, q)\)-Mathieu-type series
- The H-Function
- On p–extended Mathieu series
- MATHIEU-TYPE SERIES BUILT BY (p, q)-EXTENDED GAUSSIAN HYPERGEOMETRIC FUNCTION
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