TY  - JOUR
T1  - A Novel Subclass of Harmonic Functions: Coefficient Bounds, Distortion Bounds, and Closure Properties
AU  - Çakmak, Serkan
PY  - 2025
DA  - April
Y2  - 2025
DO  - 10.16984/saufenbilder.1530460
JF  - Sakarya University Journal of Science
JO  - SAUJS
PB  - Sakarya University
WT  - DergiPark
SN  - 2147-835X
SP  - 200
EP  - 207
VL  - 29
IS  - 2
LA  - en
AB  - In this paper, we introduce a new subclass of harmonic functions that significantly improves our understanding of these functions in geometric function theory. We provide a comprehensive analysis of this subclass by deriving several important properties, including coefficient bounds and decay bounds, which are necessary to evaluate the behavior and limitations of functions in this class. Additionally, we establish sufficient coefficient conditions for harmonic functions to belong to this class. Moreover, we rigorously show that this subclass is closed under both convex combinations and convolutions, meaning that any convex combination or convolution of functions in this class will also belong to the class. These results provide valuable insights into the stability and applicability of the subclass and provide a solid framework for further theoretical explorations and practical applications in complex analysis.
KW  - Harmonic functions
KW  - Convolution
KW  - Coefficient bounds
KW  - Distortion bounds
KW  - Closure properties
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UR  - https://doi.org/10.16984/saufenbilder.1530460
L1  - https://dergipark.org.tr/en/download/article-file/4132693
ER  -