Raina, R. K.Srivastava, H.M.2010-01-142010-01-1419942010-01-14http://hdl.handle.net/1828/2082In this paper we derive new (linear and bilateral) generating functions involving the Riemann zeta function (or the generalized zeta function). A connection with the Lambert transform is given, and a generalized Lambert transform is introduced. An inversion formula of this transform is obtained and its relationship with the generalized zeta function is also depicted.enRiemann zeta functiongenerating functionHurwitz zeta functionLambert transformLaguerre polynomialsGauss hypergeometric functionMellin transformgeneralized hypergeometric functionMellin inversion theoremtechnical reports (mathematics and statistics)Technical ReportDepartment of Mathematics and Statistics