Abstract

The Clausen function (x) arises in several applications. A large number of indefinite integrals of logarithmic or trigonometric functions can be expressed in closed form in terms of (x). Very recently, Choi and Srivatava [3] and Choi [1] investigated certain integral formulas associated with (x). In this sequel, we present an interesting new definite integral formula for the Clausen function (x) by using a known relationship between the Clausen function (x) and the generalized Zeta function (s, a). Also an interesting integral representation for the Catalan constant G is considered as one of two special cases of our main result.

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