%0 Journal Article
%T Integral representations of the Legendre chi function
%A Djurdje Cvijovi£¿
%J Mathematics
%D 2009
%I arXiv
%R 10.1016/j.jmaa.2006.10.083
%X We, by making use of elementary arguments, deduce integral representations of the Legendre chi function $\chi_{s}(x)$ valid for $|z|<1$ and $\Re(s)>1$. Our earlier established results on the integral representations for the Riemann zeta function $\zeta(2 n+1)$ and the Dirichlet beta function $\beta(2 n)$ ,$ n\in\mathbb{N}$, are direct consequence of these representations.
%U http://arxiv.org/abs/0911.4731v2