Hurwitz-Lerch zeta and Hurwitz-Lerch type of Euler-Zagier double zeta distributions

Abstract

In this paper, we give Hurwitz-Lerch zeta distributions with $0<\sigma \ne 1$ by using the Gamma function. Moreover, we define Hurwitz-Lerch type of Euler-Zagier double zeta distributions not only in the region of absolute convergence but also the outside of the region of absolute convergence.

arXiv comment11 pages. Some typos are corrected. Formerly part of arXiv:1312.4712

References in corpus (1)

• Real zeros of Hurwitz-Lerch zeta and Hurwitz-Lerch type of Euler-Zagier double zeta functions