Generalized hypergeometric k-functions via (k,s)-fractional calculus

DOI10.22436/jnsa.010.04.40zbMath1412.33012OpenAlexW2607494250MaRDI QIDQ4631053

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Publication date: 24 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.04.40

zbMATH Keywords

differential operators\(k\)-beta function\(k\)-gamma functiongeneralized hypergeometric function \(_pF_q\)\(k\)-Pochhammer symbol\(k\)-hypergeometric function\((k, \tau)\)-hypergeometric function\((k,s)\)-fractional integral\(\tau\)-hypergeometric function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Other functions defined by series and integrals (33E20) Generalized hypergeometric series, ({}_pF_q) (33C20) Functions of one variable (26A99)

Related Items (3)

Generalized fractional operator with applications in mathematical physics ⋮ Some summation theorems for Clausen's hypergeometric functions with unit argument ⋮ Convexity and monotonicity for elliptic integrals of the first kind and applications

Cites Work

• Some results on the generalized Mittag-Leffler function operator
• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• Fractional calculus of generalized \(k\)-Mittag-Leffler function and its applications to statistical distribution
• Some properties of wright-type generalized hypergeometric function via fractional calculus
• Generalized hypergeometric functions with applications in statistics and physical sciences
• (k,s)-Riemann-Liouville fractional integral and applications
• SOME PROPERTIES OF GENERALIZED HYPERGEOMETRIC FUNCTION
• Note on generalized hypergeometric function
• Some results on a generalized hypergeometric function
• PROPERTIES OF GENERALIZED HYPERGEOMETRIC k-FUNCTIONS VIA k-FRACTIONAL CALCULUS
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