INTEGRAL REPRESENTATION OF K-FUNCTION

Manoj Sharma; Laxmi Morya; Rajshree Mishra

doi:10.37591/rrdms.v4i3.1266

Abstract

Abstract: In this article, an attempt to be made to introduce the four-different integral representation of Extended K-function and special cases have also been discussed [1, 2]. The Extended K Function which is introduced by the authors first time in this work is extended version of earlier K-Function of Sharma [3]. We will use Riemann-Liouville fractional calculus operator in finding the integral representation of this extended K- Function. Fractional Calculus operators means calculus operators of arbitrary order (real, complex), So, these operators are useful in finding Integral representations of special functions of fractional calculus.Mathematics Subject Classification: 33C60, 33E12, 82C31, 26A33 Keywords: Riemann-Liouville fractional derivative operator, K-function, Gamma and Beta Function, M-Function.Cite this ArticleManoj Sharma, Laxmi Morya, Rajshree Mishra. Integral Representation of K-Function. Research & Reviews: Discrete Mathematical Structures. 2017; 4(3): 81–88p.