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Upper bound of fractional differential operator related to univalent functions


Citation

Kilicman, Adem and W. Ibrahim, Rabha and E. Abdulnaby, Zainab (2016) Upper bound of fractional differential operator related to univalent functions. Mathematical Sciences, 10 (1). pp. 167-175. ISSN 2008-1359; ESSN: 2251-7456

Abstract

In this article, we defined the generalized fractional differential Tremblay operator in the open unit disk that by usage the definition of the generalized Srivastava–Owa operator. In particular, we established a new operator denoted by Θβ,τ,γz based on the normalized generalized fractional differential operator and represented by convolution product. Moreover, we studied the coefficient criteria of univalence, starlikeness and convexity for the last operator mentioned.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1007/s40096-016-0191-z
Publisher: Springer
Keywords: Univalent function; Subclasses of univalent function; Generalized fractional differential operator; Convolution
Depositing User: Ms. Nida Hidayati Ghazali
Date Deposited: 27 Oct 2017 04:03
Last Modified: 27 Oct 2017 04:03
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/s40096-016-0191-z
URI: http://psasir.upm.edu.my/id/eprint/53201
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