Differential sandwich theorems of symmetric points associated with Dziok-Srivastava operator (Q2868773)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: scientific article |
scientific article; zbMATH DE number 6239453
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differential sandwich theorems of symmetric points associated with Dziok-Srivastava operator |
scientific article; zbMATH DE number 6239453 |
Statements
19 December 2013
0 references
symmetric points
0 references
differential subordination
0 references
superordination
0 references
sandwich theorems
0 references
Dziok-Srivastava operator
0 references
Differential sandwich theorems of symmetric points associated with Dziok-Srivastava operator (English)
0 references
\textit{K. Sakaguchi} [J. Math. Soc. Japan 11, 72--75 (1959; Zbl 0085.29602)] introduced the class of starlike functions with respect to symmetric points; these are normalized analytic functions \(f\) on the open unit disk satisfying \(\text{Re}(zf'(z)/(f(z)-f(-z))>0\). The authors give some applications of the theory of differential subordination and superordination to certain classes of functions with respect to symmetric points defined by making use of the Dziok-Srivastava convolution operator.
0 references