Some integrals involving k gamma and k digamma function

Abstract

In this paper, some new integrals involving k gamma function and k digamma function have been established. An integral is established involving k gamma function, and its special values are discussed. Similarly, some new integrals have been established for k digamma function, and different elementary function is associated with it for different values of k . A nice representation of the Euler-Mascheroni constant and π in the form of k digamma function for different values of k is also obtained.