A STUDY OF N- FRACTIONAL CALCULUS FOR THE GENERALIZED HURWITZ-LERCH ZETA FUNCTION AND MITTAG-LEFFLER FUNCTION

Document Type : Regular research papers

Authors

1 Department of Mathematics and Statistics, J.N.V. University, Jodhpur, Rajasthan, India- 342011.

2 Department of Mathematics, National Institute of Technology, Chaltlang, Aizawl 796 012, Mizoram, India

3 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, T.N., India

4 Department of Mathematics, DR. C.V. Raman University Kota, Bilaspur (C.G.)-495113, India

Abstract

In present paper, the investigation of generalized Hurwitz-Lerch Zeta function and generalized Mittag-Leffler function by applying N-fractional calculus has been discussed. These results are in compact forms of various types of functions. Further, several special cases are established at the end of the paper. In present paper, the investigation of generalized Hurwitz-Lerch Zeta function and generalized Mittag-Leffler function by applying N-fractional calculus has been discussed. These results are in compact forms of various types of functions. Further, several special cases are established at the end of the paper. In present paper, the investigation of generalized Hurwitz-Lerch Zeta function and generalized Mittag-Leffler function by applying N-fractional calculus has been discussed. These results are in compact forms of various types of functions. Further, several special cases are established at the end of the paper. In present paper, the investigation of generalized Hurwitz-Lerch Zeta function and generalized Mittag-Leffler function by applying N-fractional calculus has been discussed.

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