Integral Representation of K -series.

In this research paper we define a new Special Function, known as K-Series. The M- series [7], - Generalized Hypergeometric Function[6] and the Generalized Mittag-Leffler function [1], [2], [3], [4], [5], [8] and [9] are particular cases of K-Series. Also we calculate four different Integral Representation of K - Series given by equations (11), (16), (18), (22) and (23). For particular values of parameters, we can evaluate Integral Representation of - _pF_q Generalized Hypergeometric Function, given by equations (13),(19) and (24) and the Integral Representation of Generalized Mittag- Leffler function given by equations (14), (15), (20), (21), (25) and (26) [ABSTRACT FROM AUTHOR]