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Genocchi Numbers and Polynomials Associated with -Genocchi-Type -Functions
- Source :
- Advances in Difference Equations, Vol 2008, Iss 1, p 815750 (2008)
- Publication Year :
- 2008
- Publisher :
- SpringerOpen, 2008.
-
Abstract
- The main purpose of this paper is to study on generating functions of the -Genocchi numbers and polynomials. We prove new relation for the generalized -Genocchi numbers which is related to the -Genocchi numbers and -Bernoulli numbers. By applying Mellin transformation and derivative operator to the generating functions, we define -Genocchi zeta and -functions, which are interpolated -Genocchi numbers and polynomials at negative integers. We also give some applications of generalized -Genocchi numbers.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 16871839 and 16871847
- Volume :
- 2008
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.41abe87757de4842812e3172d5986915
- Document Type :
- article