Generalized fractional differentiation of multivariable I-function involving general class of polynomials
Author Affiliations
- 1Mathematics, Model Science College Rewa, MP, India
- 2Department of University Institute of Engineering and Technology, Babasaheb Bhimrao Ambedkar University, Lucknow, UP, India
- 3University Teaching Department, A P S University Rewa, MP, India
Res. J. Mathematical & Statistical Sci., Volume 5, Issue (1), Pages 5-9, January,12 (2017)
Abstract
In this research work, we study and obtain new results on the generalized fractional derivative operators. Initially, we establish two theorems of generalized fractional derivative of multivariable I-function involving general class of polynomial, that give the images of multivariable I-function in saigö operators1. On account of general nature of saigö operators and multivariable I-function and several special functions.
References
- Saigö M. (1978)., A remark on integral operators involving the Gauss hypergeometric functions, Math., College of general Edu. Kyushu University, bf 11Rep.135-143.
- Prasad Y.L. (1986)., On a Multivariable I-Function., Vijnana Parishad Anusandhan Pratrika, 231-235.
- Kilbas A. (2005)., Fractional calculus of the generalized Wright function., Appl. Anal, 8(2), 113-126.
- Kilbas A.A. and Sebastian N. (2008)., Generalized Fractional Differentiation of Bessel Function of the First Kind., Mathematica Balkanica, 22, 323-346.
- R.K. Saxena and K. Nishimoto (2010)., N-fractional calculus of generalized Mittag-Leffler functions., J.Indian Acad. Math., 31(1), 165-172.
- Agarwal Parveen (2012)., Fractional Integration of the Product of two H-Functions and A General Class of Polynomials., Asian Journal of Applied Sciences, Knowledge Review, Malaysia.
- Gupta Kantesh and Gupta Alpana (2011)., Generalized Fraction Differential of the Multivariable H-Function., Journal of Applied Mathematics, Statistics and Informatics (JAMSI), 7, no-2.
- Kilbas A.A. and Saigö M. (2004)., H Transforms Theory and Application., Chapman and Hall/CRC London, New York.
- Kilbas A.A., Srivastava H.M. and Trujillo J.J. (2006)., Theory and Applications of Fractional Differential Equation, Elsevier, Amsterdam.,
- Prabhakar T.R. (1971)., A singular Integral Equation with a Genaralized Mittag-Leffler functions in the Kernal., Yokohama Math J., 19, 7-15.
- Srivastava H.M. (1972)., A Contour Integral Involving Fox’s H-Function., J. Math, 14, 1-6 Indian.
- Srivastava H.M., Gupta K.C. and Goyal S.P. (1982)., The H-Function of one and two variable, with Applications., South Asian Publishers, New Delhi, Madras, Pages: 306.
- Srivastava H.M. and Panda R. (1976)., Some Bilateral Generating Functions for a Class Generalized Hypergeometric Polynomial., J. Reine Angew, Math., 283/284, 265-274.
- Srivastava H.M. and Singh N.P. (1983)., The Integration n of Certain Products of the Multivariable H-Function with a General Class of Polynomials., Rend. Circ. Mat. Dalermo, 32, 157-187.
- Szegö G. (1939)., Orthogonal Polynomials: 4th Edn., vol. 23, AMS, Colloquium Publications, Rhode Island.,