Some results associated with a generalized basic hypergeometric function

In this paper, we define a q-extension of the new generalized hypergeometric function given by Saxena et al. in [13], and have investigated the properties of the above new function such as <em>q</em>-differentiation and <em>q</em>-integral representation. The results presente...

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Bibliographic Details
Main Authors: Rajeev K. Gupta, Shireen Tabassum, Amit Mathur
Format: Article
Language:English
Published: Università degli Studi di Catania 2009-05-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/240
Description
Summary:In this paper, we define a q-extension of the new generalized hypergeometric function given by Saxena et al. in [13], and have investigated the properties of the above new function such as <em>q</em>-differentiation and <em>q</em>-integral representation. The results presented are of general character and the results given earlier by Saxena and Kalla in [14], Virchenko, Kalla and Al-Zamel in [15], Al-Musallam and Kalla in [2, 3], Kobayashi in [7, 8], Saxena et al. in [13], Kumbhat et al. in [11] follow as special cases.<br />
ISSN:0373-3505
2037-5298