A1 Refereed original research article in a scientific journal
Starlike functions associated with the generalized Koebe function
Authors: Kargar Rahim, Trojnar-Spelina Lucyna
Publisher: SPRINGER BASEL AG
Publication year: 2021
Journal: Analysis and Mathematical Physics
Journal name in source: ANALYSIS AND MATHEMATICAL PHYSICS
Journal acronym: ANAL MATH PHYS
Article number: ARTN 146
Volume: 11
Issue: 4
Number of pages: 26
ISSN: 1664-2368
eISSN: 1664-235X
DOI: https://doi.org/10.1007/s13324-021-00579-0
Web address : https://link.springer.com/article/10.1007/s13324-021-00579-0
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/66901288
In this paper we study some properties of functions f which are analytic and normalized (i.e. f (0) = 0 = f' (0) - 1) such that satisfy the following subordination relation(zf'(z)/f(z) - 1) < z/ (1 - pz)(1 - qz),where (p, q) is an element of [-1, 1] x [-1, 1]. These types of functions are starlike related to the generalized Koebe function. Some of the features are: radius of starlikeness of order gamma is an element of [0, 1), image of f ({z : vertical bar z vertical bar < r}) where r is an element of (0, 1), radius of convexity, estimation of initial and logarithmic coefficients, and Fekete-Szego problem.
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