Journal of Nonlinear Mathematical Physics

Volume 10, Issue Supplement 2, December 2003, Pages 133 - 142

On a Certain Fractional q-Difference and its Eigen Function

Authors
Atsushi Nagai
Corresponding Author
Atsushi Nagai
Available Online 1 December 2003.
DOI
10.2991/jnmp.2003.10.s2.12How to use a DOI?
Abstract

A fractional q-difference operator is presented and its properties are investigated. Epecially, it is shown that this operator possesses an eigen function, which is regarded as a q-discrete analogue of the Mittag-Leffler function. An integrable nonlinear mapping with fractional q-difference is also presented.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - Supplement 2
Pages
133 - 142
Publication Date
2003/12/01
ISBN
91-974824-0-4
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.s2.12How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Atsushi Nagai
PY  - 2003
DA  - 2003/12/01
TI  - On a Certain Fractional q-Difference and its Eigen Function
JO  - Journal of Nonlinear Mathematical Physics
SP  - 133
EP  - 142
VL  - 10
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.s2.12
DO  - 10.2991/jnmp.2003.10.s2.12
ID  - Nagai2003
ER  -