INCLUSION RESULTS IN HARMONIC FUNCTION CLASSES USING POWER SERIES DISTRIBUTION
Communications of the Korean Mathematical Society, vol.41, no.2, pp.609-626, 2026 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 41 Issue: 2
- Publication Date: 2026
- Doi Number: 10.4134/ckms.c250242
- Journal Name: Communications of the Korean Mathematical Society
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Page Numbers: pp.609-626
- Keywords: Harmonic close-to-convex functions, inclusion relations, Pascal distribution series, Poisson distribution series
- Istanbul Gelisim University Affiliated: Yes
Abstract
In this paper, we study inclusion relations for a previously introduced class of harmonic close-to-convex functions. Using operators defined via the Pascal and Poisson distribution series and applying suitable coefficient bounds, we obtain new inclusion results among the classes of harmonic convex functions, harmonic starlike functions, and the defined class. Our findings highlight the effectiveness of distribution series operators in geometric function theory.