On a Univalent Class Involving Differential Subordinations with Applications | Science Publications

Journal of Mathematics and Statistics

M. Darus¹  R. W. Ibrahim¹ 

关键词: Convex functions;    close-to-convex functions;    differential subordination;    superordination;    unit disk;    sandwich theorem;    hadamard product;    dziok-srivastava linear operator;    differential sandwich;   

DOI  :  10.3844/jmssp.2011.137.143

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

Problem statement: By means of the Hadamard product (or convolution), new class ofanalytic functions was formed. This class was motivated by many authors. Approach: By using theconcept of the subordination and superordination, we define certain differential inequalities and firstorder differential subordinations. Results: As their applications, we obtain some sufficient conditionsfor univalence which generalize and refine some previous results. Sandwich theorem is also obtained.Conclusion: Therefore, we posed a new class of analytic functions which generalized some wellknown subclasses. This class involves the E(Φ,ψ) - family of functions.

【 授权许可】

Unknown