Abstract
References
- [1] Chaudhry, M.A. and Zubair, S.M., Generalized incomplete gamma functions with applications. J. Comput. Appl. Math. 55 (1994), 99-124.
- [2] Chaudhry M.A. and Zubair, S.M., On a class of incomplete Gamma functions with applications. CRC Press (Chapman and Hall), Boca Raton, FL, 2002.
- [3] Gasper, G. and Rahman, M., Basic Hypergeometric Series. Cambridge University Press, Cambridge, 1990.
- [4] Kumar, D. and Kumar, S., Fractional Calculus of the Generalized Mittag-Leffler Type Function. International Scholarly Research Notices 2014 (2014), Article ID 907432, 6 pages.
- [5] Kumar, D. and Saxena, R.K., Generalized fractional calculus of the M-Series involving F3 hypergeometric function. Sohag J. Math. 2 (2015), no. 1, 17–22.
- [6] Parmar, R.K., Extended τ -Hypergeometric functions and associated properties. Computes rendus Mathematique 353 (2015), no. 5, 421–426.
- [7] Rainville, E.D., Special Functions. Macmillan Company, New York, 1960; Reprinted by Chelsea Publishing Company, Bronx, New York, 1971.
- [8] Samko, S.G., Kilbas, A.A. and Marichev, O.I., Fractional Integrals and Derivatives, Theory and Applications. Gordon and Breach, Yverdon et alibi, 1993.
- [9] Srivastava, H.M., Çetinkaya, A. and Onur Kıymaz, İ, A Certain generalized Pochhammer symbol and its applications to hypergeometric functions. Appl. Math. Comput. 226 (2014), 484–491.
- [10] Srivastava, H.M. and Karlsson, P.W., Multiple Gaussian Hypergeometric Series. Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons. New York, Chichester, Brisbane and Toronto, 1985.
- [11] Virchenko, N., Kalla, S.L. and Al-Zamel, A., Some results on a generalized hypergeometric function. Integral Transforms and Special Functions, 12 (2001), no. 1, 89–100.
Abstract
Keywords
Generalized Gamma functions Gauss’s hypergeometric function Generalized Gauss hypergeometric function Extended τ -hypergeometric function Mellin transform Fractional calculus operators
References
- [1] Chaudhry, M.A. and Zubair, S.M., Generalized incomplete gamma functions with applications. J. Comput. Appl. Math. 55 (1994), 99-124.
- [2] Chaudhry M.A. and Zubair, S.M., On a class of incomplete Gamma functions with applications. CRC Press (Chapman and Hall), Boca Raton, FL, 2002.
- [3] Gasper, G. and Rahman, M., Basic Hypergeometric Series. Cambridge University Press, Cambridge, 1990.
- [4] Kumar, D. and Kumar, S., Fractional Calculus of the Generalized Mittag-Leffler Type Function. International Scholarly Research Notices 2014 (2014), Article ID 907432, 6 pages.
- [5] Kumar, D. and Saxena, R.K., Generalized fractional calculus of the M-Series involving F3 hypergeometric function. Sohag J. Math. 2 (2015), no. 1, 17–22.
- [6] Parmar, R.K., Extended τ -Hypergeometric functions and associated properties. Computes rendus Mathematique 353 (2015), no. 5, 421–426.
- [7] Rainville, E.D., Special Functions. Macmillan Company, New York, 1960; Reprinted by Chelsea Publishing Company, Bronx, New York, 1971.
- [8] Samko, S.G., Kilbas, A.A. and Marichev, O.I., Fractional Integrals and Derivatives, Theory and Applications. Gordon and Breach, Yverdon et alibi, 1993.
- [9] Srivastava, H.M., Çetinkaya, A. and Onur Kıymaz, İ, A Certain generalized Pochhammer symbol and its applications to hypergeometric functions. Appl. Math. Comput. 226 (2014), 484–491.
- [10] Srivastava, H.M. and Karlsson, P.W., Multiple Gaussian Hypergeometric Series. Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons. New York, Chichester, Brisbane and Toronto, 1985.
- [11] Virchenko, N., Kalla, S.L. and Al-Zamel, A., Some results on a generalized hypergeometric function. Integral Transforms and Special Functions, 12 (2001), no. 1, 89–100.
Details
| Primary Language | English |
|---|---|
| Journal Section | Research Article |
| Authors | |
| Submission Date | February 5, 2016 |
| Publication Date | April 30, 2017 |
| Published in Issue | Year 2017 Volume: 5 Issue: 1 |
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