학술논문
New properties of the Lerch's transcendent
Document Type
Working Paper
Author
Source
Journal of Number Theory 172 (2017) 21-31
Subject
Language
Abstract
A new representation of the Lerch's transcendent Phi(z,s,a), valid for positive integer s=n=1,2,... and for z and a belonging to certain regions of the complex plane, is presented. It allows to write an equation relating Phi(z,n,a) and Phi(1/z,n,1-a), which provides an expansion of Phi(z,n,a) as a power series of 1/z, convergent for |z|>1.
Comment: 11 pages, 1 figure
Comment: 11 pages, 1 figure