Generalized fractional calculus of the multiindex Bessel function
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Authors
D. L. Suthar
- Department of Mathematics, Wollo University, Dessie, Ethiopia.
S. D. Purohit
- Department of HEAS (Mathematics), Rajasthan Technical University, Kota 324010, Rajasthan, India.
R. K. Parmar
- Department of Mathematics, Government College of Engineering and Technology, Bikaner-334004, India.
Abstract
The present paper is devoted to the study of the fractional calculus operators to obtain a number of key results for the
generalized multiindex Bessel function involving Saigo hypergeometric fractional integral and differential operators in terms
of generalized Wright function. Various particular cases and consequences of our main fractional-calculus results as classical
Riemann-Liouville and Erde´lyi-Kober fractional integral and differential formulas are deduced.
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ISRP Style
D. L. Suthar, S. D. Purohit, R. K. Parmar, Generalized fractional calculus of the multiindex Bessel function, Mathematics in Natural Science, 1 (2017), no. 1, 26--32
AMA Style
Suthar D. L., Purohit S. D., Parmar R. K., Generalized fractional calculus of the multiindex Bessel function. Math. Nat. Sci. (2017); 1(1):26--32
Chicago/Turabian Style
Suthar, D. L., Purohit, S. D., Parmar, R. K.. "Generalized fractional calculus of the multiindex Bessel function." Mathematics in Natural Science, 1, no. 1 (2017): 26--32
Keywords
- Fractional calculus operators
- multiindex Bessel function
- Wright function.
References
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