Certain identities, connection and explicit formulas for the Bernoulli, Euler numbers and Riemann zeta -values
Classical Analysis and ODEs
2014-06-23 v1
Abstract
Various new identities, recurrence relations, integral representations, connection and explicit formulas are established for the Bernoulli, Euler numbers and the values of Riemann's zeta function. To do this, we explore properties of some Sheffer's sequences of polynomials related to the Kontorovich-Lebedev transform.
Keywords
Cite
@article{arxiv.1406.5345,
title = {Certain identities, connection and explicit formulas for the Bernoulli, Euler numbers and Riemann zeta -values},
author = {Semyon Yakubovich},
journal= {arXiv preprint arXiv:1406.5345},
year = {2014}
}