New generating functions of I-function satisfying Truesdell’s $F_{q}$-equation
Abstract In this paper we first obtain various new forms of the q -analogue of the I -function satisfying Truesdell’s ascending and descending $F_{q}$ F q -equation. Then we use these forms to obtain new generating functions for the q -analogue of the I -function. Some particular cases of these resu...
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Published in | Advances in difference equations Vol. 2020; no. 1 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
04.09.2020
|
Online Access | Get full text |
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Summary: | Abstract
In this paper we first obtain various new forms of the
q
-analogue of the
I
-function satisfying Truesdell’s ascending and descending
$F_{q}$
F
q
-equation. Then we use these forms to obtain new generating functions for the
q
-analogue of the
I
-function. Some particular cases of these results in terms of the
q
-analogue of the
I
-function,
H
-function and
G
-function have also been obtained. |
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ISSN: | 1687-1847 1687-1847 |
DOI: | 10.1186/s13662-020-02912-6 |