ON A CLASS OF STARLIKE FUNCTIONS RELATED WITH BOOTH LEMNISCATE
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Let A be the class of normalized analytic functions. We study the class BS(α) as follows BS(α) := { f ∈ A : (zf'(z)/ f(z) - 1) ≺ z/1-αx2, |z| < 1}, where "≺" is the subordination relation and 0 ≤ α < 1. Also, we consider the class BK(α), including of all functions f ∈ A such that zf'(z) ∈ BS(α). In the present article, some properties of the classes BS( ) and BK( ) are investigated.
Abstract
Let A be the class of normalized analytic functions. We study the class BS(α) as follows BS(α) := { f ∈ A : (zf'(z)/ f(z) - 1) ≺ z/1-αx2, |z| < 1}, where "≺" is the subordination relation and 0 ≤ α < 1. Also, we consider the class BK(α), including of all functions f ∈ A such that zf'(z) ∈ BS(α). In the present article, some properties of the classes BS( ) and BK( ) are investigated.
참고문헌 (12)
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