Identities in the spirit of Euler

Extracta Mathematicae

A. Sofo¹ 

[1] College of Engineering and Science, Victoria University P. O. Box 14428, Melbourne City, Victoria 8001, Australia;

关键词: Polylogarithm function;    recurrence relations;    Euler sums;    Zeta functions;    Dirichlet functions;    Multiple zeta values;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this paper we develop new identities in the spirit of Euler. We shall investigate and report on new Euler identities of weight p + 2, for p an odd integer, but with a non unitary argument of the harmonic numbers. Some examples of these Euler identities will be given in terms of Riemann zeta values, Dirichlet values and other special functions.

【 授权许可】

Unknown