ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

Acceleration and Generalization of Some infinite Series

Journal: International Journal of Mechanical and Production Engineering Research and Development (IJMPERD ) (Vol.10, No. 3)

Publication Date:

Authors : ;

Page : 8489-8504

Keywords : Generalization; Infinite Series;

Source : Downloadexternal Find it from : Google Scholarexternal


In this paper, we give new series representation for well-known mathematical constant such as, Catalan Constant and alternating series of the),;,(dcbaK[4]. Moreover, give new series representation Lerch Zeta function and its generalizations H-Lerch Zeta function and G-LerchZeta function. We also provide the convergence of series and some special case of it. Moreover, its relations with other mathematical functions like Riemann Zeta function, Poly-logarithm function, Dirichlet beta function etc. All the series we have found provide quite useful analytic approximation.

Last modified: 2020-11-19 16:58:33