On a Certain Fractional q-Difference and its Eigen Function

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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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  -