DIRICHLET AVERAGES OF GENERALIZED HURWITZ-LERCH ZETA FUNCTION
JITENDRA DAIYA *
Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur, India
JETA RAM
Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur, India
*Author to whom correspondence should be addressed.
Abstract
The object of this paper is to investigate the Dirichlet averages of generalized Hurwitz-Lerch Zeta functions. Representations of such relations are obtained in terms of Riemann-Lioville integrals and hypergeometric functions of several variable.
Keywords: Generalized hurwitz-lerch zeta function, dirichlet averages, riemann-liouville fractional integrals, hypergeomatric function, lurecella function, srivastava-daoust function