Unified representation of the family of L-functions

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Ozden H., ŞİMŞEK Y.

JOURNAL OF INEQUALITIES AND APPLICATIONS, vol.2013, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2013
  • Publication Date: 2013
  • Doi Number: 10.1186/1029-242x-2013-64
  • Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Bernoulli numbers, Bernoulli polynomials, Euler numbers, Euler polynomials, Genocchi numbers, Genocchi polynomials, Dirichlet L-functions, Hurwitz zeta function, Riemann zeta function, APOSTOL-BERNOULLI, EULER NUMBERS, ZETA, POLYNOMIALS, SUMS, (H
  • Akdeniz University Affiliated: Yes

Abstract

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.