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SOME IDENTITIES INVOLVING THE LEGENDRE'S CHI-FUNCTION

  • Published : 2007.04.30

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 $Li_2(z)$. 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.

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Cited by

  1. Special functions related to Dedekind-type DC-sums and their applications vol.17, pp.4, 2010, https://doi.org/10.1134/S1061920810040114