Kober fractional q-derivative operators
<p class="MTDisplayEquation" style="margin: 0in 0.5in 0pt; line-height: normal;"><span style="font-size: 10pt;"><span style="font-family: Times New Roman;">In the present paper, we define right and left sided Kober fractional q-derivative ope...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2011-06-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/762 |
| Summary: | <p class="MTDisplayEquation" style="margin: 0in 0.5in 0pt; line-height: normal;"><span style="font-size: 10pt;"><span style="font-family: Times New Roman;">In the present paper, we define right and left sided Kober fractional q-derivative operators and show that these derivative operators are left inverse operators of Kober fractional q-integral operators. We obtain the images of generalized basic hypergeometric function and basic analogue of the H-function under these operators. We also deduce several interesting results involving q-analogues of some classical functions as special cases of our main findings.</span></span></p> |
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| ISSN: | 0373-3505 2037-5298 |