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- Title
Fuzzy Differential Subordination Associated with a General Linear Transformation.
- Authors
Malik, Sarfraz Nawaz; Khan, Nazar; Tawfiq, Ferdous M. O.; Khan, Mohammad Faisal; Ahmad, Qazi Zahoor; Xin, Qin
- Abstract
In this study, we investigate a possible relationship between fuzzy differential subordination and the theory of geometric functions. First, using the Al-Oboudi differential operator and the Babalola convolution operator, we establish the new operator BS α , λ m , t : A n → A n in the open unit disc U. The second step is to develop fuzzy differential subordination for the operator BS α , λ m , t . By considering linear transformations of the operator BS α , λ m , t , we define a new fuzzy class of analytic functions in U which we denote by T ϝ λ , t (m , α , δ) . Several innovative results are found using the concept of fuzzy differential subordination and the operator BS α , λ m , t for the function f in the class T ϝ λ , t (m , α , δ) . In addition, we explore a number of examples and corollaries to illustrate the implications of our key findings. Finally, we highlight several established results to demonstrate the connections between our work and existing studies.
- Subjects
ANALYTIC functions; GEOMETRIC function theory; DIFFERENTIAL operators; LINEAR operators
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 22, p4582
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11224582