Abstract
This article considers three types of analytic functions based on their infinite product representation. The radius of the k-parabolic starlikeness of the functions of these classes is studied. The optimal parameter values for k-parabolic starlike functions are determined in the unit disk. Several examples are provided that include special functions such as Bessel, Struve, Lommel, and q-Bessel functions.
Funder
Deanship of Scientific Research, King Faisal University
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference39 articles.
1. Uniformly convex functions and a corresponding class of starlike functions
2. On starlike functions associated with parabolic regions;Rønning;Ann. Univ. Mar. Curie-Skłodowska Sect. A,1991
3. Coefficients of parabolic starlike functions of order ρ, Computational Methods and Function Theory 1994 (Penang);Ali;Ser. Approx. Decompos.,1995
4. Certain properties of parabolic starlike and convex functions of order ρ;Aghalary;Bull. Malays. Math. Sci. Soc.,2003
5. Starlikeness associated with parabolic regions
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