Some Identities Involving the Legendre's Chi-Function
Commun. Korean Math. Soc. 2007 Vol. 22, No. 2, 219-225 Printed June 1, 2007
Junesang Choi Dongguk University
Abstract : Since the time of Euler, the dilogarithm and polylogarithm functions have been studied by many mathematicians who used various notations for the dilogarithm function ${\text {Li}}_2(z)$. These functions are related to many other mathematical functions and have a variety of application. The main objective of this paper is to present corrected versions of two equivalent factorization formulas involving the Legendre's Chi-function $\chi_2$ and an evaluation of a class of integrals which is useful to evaluate some integrals associated with the dilogarithm function.
