SOME IDENTITIES INVOLVING THE LEGENDRES CHI-FUNCTION

Title & Authors
SOME IDENTITIES INVOLVING THE LEGENDRES CHI-FUNCTION
Choi, June-Sang;

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 $\small{Li_2(z)}$. 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 Legendres Chi-function $\small{\chi_2}$ and an evaluation of a class of integrals which is useful to evaluate some integrals associated with the dilogarithm function.
Keywords
dilogarithm function;polylogarithm function;Legendres chi-function;gamma function;Riemann Zeta function;Euler-Mascheroni`s constant;
Language
English
Cited by
1.
Special functions related to Dedekind-type DC-sums and their applications, Russian Journal of Mathematical Physics, 2010, 17, 4, 495
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