Remarks on Interpolation Function of Higher Order (h,q)-Bernoulli Numbers

Aygunes A. A., ŞİMŞEK Y.

International Conference on Numerical Analysis and Applied Mathematics, Rethimnon, Greece, 18 - 22 September 2009, vol.1168, pp.61-64, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1168
  • Doi Number: 10.1063/1.3241539
  • City: Rethimnon
  • Country: Greece
  • Page Numbers: pp.61-64
  • Keywords: Bernoulli polynomials, Volkenborn integral, (h,q)-Bernoulli numbers and polynomials, multiple (h,q)-zeta function, Q)-BERNOULLI NUMBERS, TWISTED (H, POLYNOMIALS, BERNOULLI, ZETA
  • Akdeniz University Affiliated: Yes

Abstract

In this paper we define higher order (h,q) twisted zeta function. Then their values at negative integers are given in terms of (h,q)-twisted Bernoulli numbers of higher order. We also establish Raabe formulae and multiplication formulas for these numbers.