On fuzzy differential subordination associated with q-difference operator

AIMS Mathematics

article

Shujaat Ali Shah¹  Ekram Elsayed Ali²  Adriana Cătaș⁴  Abeer M. Albalahi² 

[1] Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology;Department of Mathematics, College of Science, University of Ha'il;Department of Mathematics and Computer Science, Faculty of Science, Port Said University;Department of Mathematics and Computer Science, University of Oradea 1 University St.

关键词: analytic functions;    $ q $-difference operator;    fuzzy differential subordination;    the $ q $-Srivastava-Attiya operator;    the $ q $-multiplier transformation;   

DOI  :  10.3934/math.2023336

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

This article presents the link between the fuzzy differential subordination and the q-theory of functions. We use the fuzzy differential subordination to define certain subclasses of univalent functions associated with the q-difference operator. Certain inclusion results are proved, and invariance of the $ q $-Bernardi integral operator for certain classes is discussed.

【 授权许可】

CC BY