FAMILIES OF LOG LEGENDRE CHI FUNCTION INTEGRALS.

In this paper we investigate the representation of integrals involving the product of the Legendre Chi function, polylogarithm function and log function. We will show that in many cases these integrals take an explicit form involving the Riemann zeta function, the Dirichlet Eta function, Dirichlet lambda function and many other special functions. Some examples illustrating the theorems will be detailed. [ABSTRACT FROM AUTHOR]