Differential Subordination and Superordination Results for q -Analogue of Multiplier Transformation

Fractal and Fractional

article

Alina Alb Lupaş¹  Adriana Cătaş¹ 

[1] Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street

关键词: convex function;    differential operator;    q-analogue operator;    differential subordination;    best dominant;    differential superordination;    best subordinant;   

DOI  :  10.3390/fractalfract7020199

学科分类：社会科学、人文和艺术（综合）

来源: mdpi

【 摘 要 】

The results obtained by the authors in the present paper refer to quantum calculus applications regarding the theories of differential subordination and superordination. These results are established by means of an operator defined as the q-analogue of the multiplier transformation. Interesting differential subordination and superordination results are derived by the authors involving the functions belonging to a new class of normalized analytic functions in the open unit disc U, which is defined and investigated here by using this q-operator.

【 授权许可】

CC BY