Abstract
Let P[A, B], −1 ≤ B < A ≤ 1, be the class of functions p such that p(z) is subordinate to . A function f, analytic in the unit disk E is said to belong to the class if, and only if, there exists a function g with such that , 0 ≤ β < 1 and z ∈ E. The functions in this class are close‐to‐convex and hence univalent. We study its relationship with some of the other subclasses of univalent functions. Some radius problems are also solved.
Highlights
Let f be analytic in E {z" z < 1} and be given by f(z) z + anzn (1.1)A function g, analytic in E, is called subordinate to a function G if there exists a Schwarz function w(z), analytic in E with w(0)= 0 and Iw(z) < in E, such.that g(z)= G(w(z)).In [1], Janowski introduced the class P[A,B]
We study its relationship with some of the other subclasses of univalent functions
We shall focus on the class K*[A,B] and establish the relationship of this class with some other subclasses of close-to-convex functions
Summary
Let f be analytic in E {z" z < 1} and be given by f(z) z + anzn (1.1)A function g, analytic in E, is called subordinate to a function G if there exists a Schwarz function w(z), analytic in E with w(0)= 0 and Iw(z) < in E, such.that g(z)= G(w(z)).In [1], Janowski introduced the class P[A,B]. Let P[A,B],-1 B
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