ON A p-ADIC INTERPOLATING FUNCTION FOR THE GENERALIZED GENOCCHI NUMBERS AND ITS BEHAVIOUR AT s=0


Araci S., ŞEN E.

ARS COMBINATORIA, cilt.122, ss.439-447, 2015 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 122
  • Basım Tarihi: 2015
  • Dergi Adı: ARS COMBINATORIA
  • Sayfa Sayıları: ss.439-447

Özet

In this work, we consider the generalized Genocchi numbers and polynomials. However, we introduce analytic interpolating function for the generalized Genocchi numbers attached to chi at negative integers in complex plane and also we define the Genocchi p-adic L-function. As a result, we derive the value of the partial derivative of the Genocchi p-adic iota-function at s = 0.