Result: Kober fractional q-derivative operators

Title:
Kober fractional q-derivative operators
Authors:
Mridula Garg, Lata Chanchlani
Source:
Le Matematiche, Vol 66, Iss 1, Pp 13-26 (2011)
Publisher Information:
Università degli Studi di Catania, 2011.
Publication Year:
2011
Collection:
LCC:Mathematics
Subject Terms:
Kober fractional q-integral operator, Kober fractional q-derivative operator, generalized basic hypergeometric function, basic analogue of Fox H-function, basic analogue of Bessel function, Mathematics, QA1-939
Document Type:
Academic journal article
File Description:
electronic resource
Language:
English
French
Italian
ISSN:
0373-3505
2037-5298
Relation:
http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/762; https://doaj.org/toc/0373-3505; https://doaj.org/toc/2037-5298
Access URL:
https://doaj.org/article/9e2d8043201c4fe99203f72c2893e58e
Accession Number:
edsdoj.9e2d8043201c4fe99203f72c2893e58e
Database:
Directory of Open Access Journals

Further Information

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.