title: |
On a Certain Fractional q-Difference and its Eigen Function |
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publication: |
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| volume-issue: | 10 - Supplement 2 | |
| pages: | 133 - 142 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2003.10.s2.12 (how to use a DOI) | |
author(s): |
Atsushi NAGAI |
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publication date: |
December 2003 |
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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. |
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copyright: |
©
Atlantis Press. This is an open-access article distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |