FRACTIONAL CALCULUS OPERATORS OF THE PRODUCT OF GENERALIZED MODIFIED BESSEL FUNCTION OF THE SECOND TYPE
DOI10.4134/CKMS.C200254zbMath1491.33004OpenAlexW3206965886MaRDI QIDQ5164383
Ritu Agarwal, Naveen Kumar, Sunil Dutt Purohit, Rakesh Kumar Parmar
Publication date: 11 November 2021
Full work available at URL: http://www.koreascience.or.kr:80/article/JAKO202123162109728.pdf
generalized Lauricella functionSaigo fractional calculus operatorsGauss' hypergeometric \({}_2 F_1 (x)\) functiongeneralized modified Bessel function of the second type
Fractional derivatives and integrals (26A33) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50) Elementary functions (26A09)
Cites Work
- Fractional calculus of a product of multivariable Srivastava polynomial and multi-index Bessel function in the kernel \(F_3\)
- Some fractional operators with the generalized Bessel-Maitland function
- Fractional differentiation of the product of Bessel functions of the first kind
- Certain image formulae and fractional kinetic equations of generalized \(\mathtt{k} \)-Bessel functions via the Sumudu transform
- The H-Function
- Generalized fractional integration of Bessel function of the first kind
- The Solution of the Single-Channel Queuing Equations Characterized by a Time-Dependent Poisson-Distributed Arrival Rate and a General Class of Holding Times
- Operators of fractional integration and their applications
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