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Some Properties and Graphical Applications of a New Subclass of Harmonic Functions Defined by a Differential Inequality.
- Source :
- Mathematics (2227-7390); Aug2024, Vol. 12 Issue 15, p2338, 15p
- Publication Year :
- 2024
-
Abstract
- This paper establishes new results related to geometric function theory by presenting a new subclass of harmonic functions with complex values within the open unit disk, characterized by a second-order differential inequality. The investigation explores the bounds on the coefficients and estimates of the function growth. This paper also demonstrates that this subclass remains stable under the convolution operation applied to its members. In addition, in the last section, images of the unit disk under some functions of this class are given. [ABSTRACT FROM AUTHOR]
- Subjects :
- GEOMETRIC function theory
HARMONIC functions
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 12
- Issue :
- 15
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 178948958
- Full Text :
- https://doi.org/10.3390/math12152338