Unified representation of the family of L -functions

Journal of inequalities and applications

Hacer Ozden¹ 

关键词: Bernoulli numbers;    Bernoulli polynomials;    Euler numbers;    Euler polynomials;    Genocchi numbers;    Genocchi polynomials;    Dirichlet L-functions;    Hurwitz zeta function;    Riemann zeta function;   

DOI  :  10.1186/1029-242X-2013-64

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The aim of this paper is to unify the family of L-functions. By using the generating functions of the Bernoulli, Euler and Genocchi polynomials, we construct unification of the L-functions. We also derive new identities related to these functions. We also investigate fundamental properties of these functions. AMS Subject Classification:11B68, 11S40, 11S80, 26C05, 30B40.

【 授权许可】

CC BY