Citation
Abdulnaby, Zainab E. and W. Ibrahim, Rabha and Kilicman, Adem
(2018)
On boundedness and compactness of a generalized Srivastava-Owa fractional derivative operator.
Journal of King Saud University - Science, 30 (2).
153 - 157.
ISSN 1018-3647; ESSN: 2213-686X
Abstract
The purpose of this present effort is to define a new fractional differential operator Tzβ,τ,γ, involving Srivastava–Owa fractional derivative operator. Further, we investigate some geometric properties such as univalency, starlikeness, convexity for their normalization, we also study boundedness and compactness of analytic and univalent functions on weighted μ-Bloch space for this operator. The method in this study is based on the generalized hypergeometric function.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Computer Science and Information Technology Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1016/j.jksus.2016.09.010 |
| Publisher: | Elsevier |
| Keywords: | Analytic functions; Univalent functions; Srivastava–Owa fractional derivative operator; Generalized differential operator; Weightedl-Bloch space; Convolution (or Hadamardproduct) |
| Depositing User: | Mr. Sazali Mohamad |
| Date Deposited: | 08 Sep 2021 09:28 |
| Last Modified: | 08 Sep 2021 09:28 |
| Altmetrics: | http://www.altmetrics.com/details.php?domain=pasir.upm.edu.my&doi=10.1016/j.jksus.2016.09.010 |
| URI: | http://psasir.upm.edu.my/id/eprint/75123 |
| Statistic Details: | View Download Statistic |
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