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- Title
New Criteria for Starlikness and Convexity of a Certain Family of Integral Operators.
- Authors
Srivastava, Hari M.; Alavi, Rogayeh; Shams, Saeid; Aghalary, Rasoul; Joshi, Santosh B.
- Abstract
In this paper, we first modify one of the most famous theorems on the principle of differential subordination to hold true for normalized analytic functions with a fixed initial Taylor-Maclaurin coefficient. By using this modified form, we generalize and improve several results, which appeared recently in the literature on the geometric function theory of complex analysis. We also prove some simple conditions for starlikeness, convexity, and the strong starlikeness of several one-parameter families of integral operators, including (for example) a certain μ -convex integral operator and the familiar Bernardi integral operator.
- Subjects
INTEGRAL operators; GEOMETRIC function theory; ANALYTIC functions; UNIVALENT functions; STAR-like functions
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 18, p3919
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11183919