Some Results of Differential Subordination and Differential Superordination Theorems for Univalent Functions Defined by Ruscheweyh Derivative Operator | Zendy

Aqeel Ketab AL-khafaji | Zendy

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Some Results of Differential Subordination and Differential Superordination Theorems for Univalent Functions Defined by Ruscheweyh Derivative Operator

Author(s) -

Aqeel Ketab AL-khafaji

Publication year - 2019

Publication title -

journal of advanced engineering and computation

Language(s) - English

Resource type - Journals

ISSN - 2588-123X

DOI - 10.25073/jaec.201932.237

Subject(s) - subordination (linguistics) , univalent function , differential operator , mathematics , differential (mechanical device) , operator (biology) , unit disk , pure mathematics , combinatorics , analytic function , physics , philosophy , biochemistry , chemistry , repressor , gene , transcription factor , thermodynamics , linguistics

The purpose of the present paper is to derive several subordination, superordination results, and sandwich results for the function of the form $f\left(z\right)=z+\sum^{\infty }_{n=2}{a_nz^n}$ which is univalent in the open unit disc $\ U=\left\{z\in \mathbb{C}:\left|z\right|.

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