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

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CHARLES BABBAGE RES CTR

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info:eu-repo/semantics/embargoedAccess

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.

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Anahtar Kelimeler

generalized Genocchi numbers and polynomials, Euler-Gamma function, p-adic interpolation function, generalized zeta function

Kaynak

ARS COMBINATORIA

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Cilt

122

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Araci, S., Sen, E., & Sen, E. (January 01, 2015). On a p-ADIC interpolating function for the generalized genocchi numbers and its behaviour at s = 0. Ars Combinatoria, 122, 439-447.

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