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SOME IDENTITIES INVOLVING THE LEGENDRE'S CHI-FUNCTION
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 Title & Authors
SOME IDENTITIES INVOLVING THE LEGENDRE'S CHI-FUNCTION
Choi, June-Sang;
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 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 . 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 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;Legendre's 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  crossref(new windwow)
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