Identities and Relations Associated with Generating Function for Apostol-Genocchi Type Polynomials and Trigonometric Functions

Kilar N., ŞİMŞEK Y.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Greece, 23 - 28 September 2019, vol.2293 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 2293
  • Doi Number: 10.1063/5.0026760
  • City: Rhodes
  • Country: Greece
  • Keywords: Bernoulli numbers and polynomials, Apostol-Genocchi numbers and polynomials, Two parametric Apostol-Genocchi polynomials, Generating function, Functional equation, Trigonometric function
  • Akdeniz University Affiliated: Yes

Abstract

Fundamental idea of this paper is to study some properties of the generating functions for Apostol-Genocchi type polynomials by using trigonometric functions. Moreover, by considering these functions, we give some identities and relations including parametric kinds of Apostol-Genocchi type polynomials, the Bernoulli numbers, trigonometric functions involving the tangent numbers and the cotangent numbers. Furthermore, by taking into account the generating and trigonometric functions, we derive some combinatorial sums, formulas and relations which are related to these numbers and polynomials.