A new approach to q-Genocchi numbers and their interpolation functions

Ismail Naci Cangul; Hacer Ozden; Yilmaz Simsek

doi:10.1016/j.na.2008.11.040

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A new approach to q-Genocchi numbers and their interpolation functions

Journal article

Peer reviewed

A new approach to q-Genocchi numbers and their interpolation functions

Ismail Naci Cangul, Hacer Ozden and Yilmaz Simsek

Nonlinear analysis, Vol.71(12), pp.e793-e799

15/12/2009

DOI: https://doi.org/10.1016/j.na.2008.11.040

Abstract

[formula omitted]-adic [formula omitted]-deformed fermionic integral

Bernoulli numbers

Euler numbers

Higher order twisted [formula omitted]-Genocchi numbers

Interpolation functions

The aim of this paper is to define generating functions of higher order q -Genocchi numbers by using a p -adic q -deformed fermionic integral on Z p . We give Witt’s type integral of these numbers. Furthermore we give the interpolation functions of these numbers.

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Title: A new approach to q-Genocchi numbers and their interpolation functions
Creators - without role: Ismail Naci Cangul - Uludağ University
Hacer Ozden - Uludağ University
Yilmaz Simsek - Akdeniz University
Publication Details: Nonlinear analysis, Vol.71(12), pp.e793-e799
Publisher: Elsevier Ltd
Identifiers: 9935788008331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article