On a new linear operator formulated by Airy functions in the open unit disk

Advances in Difference Equations

Dumitru Baleanu¹  Rabha W. Ibrahim² 

[1] Department of Mathematics, Cankaya University, 06530, Ankara, Balgat, Turkey;Institute of Space Sciences, R76900, Magurele-Bucharest, Romania;Department of Medical Research, China Medical University, 40402, Taichung, Taiwan;IEEE: 94086547, 59200, Kuala Lumpur, Malaysia;

关键词: Analytic function;    Univalent function;    Subordination;    Open unit disk;   

DOI  :  10.1186/s13662-021-03527-1

来源: Springer

【 摘 要 】

In this note, we formulate a new linear operator given by Airy functions of the first type in a complex domain. We aim to study the operator in view of geometric function theory based on the subordination and superordination concepts. The new operator is suggested to define a class of normalized functions (the class of univalent functions) calling the Airy difference formula. As a result, the suggested difference formula joining the linear operator is modified to different classes of analytic functions in the open unit disk.

【 授权许可】

CC BY