Upper bound of fractional differential operator related to univalent functions
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- 作者：Adem Kılıçman ; Rabha W. Ibrahim ; Zainab E. Abdulnaby
- 关键词：Univalent function ; Subclasses of univalent function ; Generalized fractional differential operator ; Convolution
- 刊名：Mathematical Sciences
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：10
- 期：4
- 页码：167-175
- 全文大小：451 KB
- 刊物主题：Applications of Mathematics;
- 出版者：Springer Berlin Heidelberg
- ISSN：2251-7456
- 卷排序：10
文摘
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 \( \Theta ^{\beta ,\tau , \gamma }_{z}\) 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.