1. Initial Coefficients and Fekete-Szegő Inequalities for Functions Related to van der Pol Numbers (VPN).
- Author
-
Murugusundaramoorthy, Gangadharan and Bulboacă, Teodor
- Subjects
UNIVALENT functions ,ANALYTIC functions ,POISSON distribution ,LOGARITHMIC functions ,GENERATING functions ,STAR-like functions ,VIRTUAL private networks - Abstract
The purpose of this paper is to find coefficient estimates for the class of functions ℳ N (γ , ϑ , λ) consisting of analytic functions f normalized by f(0) = f′(0) – 1 = 0 in the open unit disk D subordinated to a function generated using the van der Pol numbers, and to derive certain coefficient estimates for a
2 , a3 , and the Fekete-Szegő functional upper bound for f ∈ ℳ N (γ , ϑ , λ) . Similar results were obtained for the logarithmic coefficients of these functions. Further application of our results to certain functions defined by convolution products with a normalized analytic functions is given, and in particular, we obtain Fekete-Szegő inequalities for certain subclasses of functions defined through the Poisson distribution series. [ABSTRACT FROM AUTHOR]- Published
- 2023
- Full Text
- View/download PDF