Certain Subordination Results on the Class of Strongly Starlike p-Valent Analytic Functions

Abstract

In this paper we define and study a class LS^*_p(α) of p-valent analytic functions associated with the right half of the lemniscate of Bernoulli. This study is an attempt to find some symmetry or pattern when function f ∈ A_p. Here we determine Hankel determinant of some initial coefficients of the Taylor series expansion. Sharp bounds of the Hankel determinant of order 2, bounds of the initial coefficients, Fekete-Szeg¨o type problem and a radius result for this class are obtained.

Key words and phrases. p-valent analytic functions, subordination, Hankel determinant.

2020 Mathematics Subject Classification. Primary: 30C3xx; Secondary: 30C80; 30C20; 30C55; 30C45