Upper bound of fractional differential operator related to univalent functions View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2016-09-10

AUTHORS

Adem Kılıçman, Rabha W. Ibrahim, Zainab E. Abdulnaby

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 Θzβ,τ,γ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \Theta ^{\beta ,\tau , \gamma }_{z}$$\end{document} 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. More... »

PAGES

167-175

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s40096-016-0191-z

DOI

http://dx.doi.org/10.1007/s40096-016-0191-z

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1049919655


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