q-Genocchi Numbers and Polynomials Associated with Fermionic p-Adic Invariant Integrals on ℤp
Joint Authors
Source
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-04-23
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The main purpose of this paper is to present a systemic study of some families of multiple Genocchi numbers and polynomials.
In particular, by using the fermionic p-adic invariant integral on ℤp, we construct p-adic Genocchi numbers and polynomials of higher order.
Finally, we derive the following interesting formula: Gn+k,q(k)(x)=2kk!(n+kk)∑l=0∞∑d0+d1+⋯+dk=k−1,di∈ℕ(−1)l(l+x)n, where Gn+k,q(k)(x) are the q-Genocchi polynomials of order k.
American Psychological Association (APA)
Jang, Lee-Chae& Kim, Taekyun. 2008. q-Genocchi Numbers and Polynomials Associated with Fermionic p-Adic Invariant Integrals on ℤp. Abstract and Applied Analysis،Vol. 2008, no. 2008, pp.1-8.
https://search.emarefa.net/detail/BIM-987591
Modern Language Association (MLA)
Jang, Lee-Chae& Kim, Taekyun. q-Genocchi Numbers and Polynomials Associated with Fermionic p-Adic Invariant Integrals on ℤp. Abstract and Applied Analysis No. 2008 (2008), pp.1-8.
https://search.emarefa.net/detail/BIM-987591
American Medical Association (AMA)
Jang, Lee-Chae& Kim, Taekyun. q-Genocchi Numbers and Polynomials Associated with Fermionic p-Adic Invariant Integrals on ℤp. Abstract and Applied Analysis. 2008. Vol. 2008, no. 2008, pp.1-8.
https://search.emarefa.net/detail/BIM-987591
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-987591