A STUDY OF SAIGO-MAEDA FRACTIONAL CALCULUS OPERATORS ASSOCIATED WITH THE MULTIPARAMETER K-MITTAG-LEFFLER FUNCTION
RAJEEV KUMAR GUPTA
Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur - 342005, India.
BHUPENDER SINGH SHAKTAWAT
Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur - 342005, India.
DINESH KUMAR *
Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur - 342005, India.
*Author to whom correspondence should be addressed.
Abstract
In the present paper, we study generalized fractional calculus operators involving Appell's function F3 due to Saigo-Maeda [1], to the Multiparameter K-Mittag-Leer function de ned by Gehlot [2]. Some elegant results obtained by Gupta et al. [3], Ram et al. [4], and many more are the special cases of our main established results.
Keywords: Saigo-maeda fractional calculus operators, K-Mittag-leer function, k-Gamma function, K-series