Abstract
In this paper a sharp upper bound of second Hankel determinant 2 2 4 3 a a − a for the functions belonging to the class M (A, B) α of alpha convex functions is established. The class of alpha convex functions is an extended version of the classes of starlike functions and convex functions. By giving the particular values to alpha, it is easy to obtain the results of starlike and convex functions. The class discussed in this paper is an extended version of the class of alpha convex functions. By giving the particular values to A and B, the result of alpha convex functions can be easily obtained.
Highlights
Let A be the class of analytic functions of the form
By S we denote the class of functions f (z)∈ A and univalent in E
Let U be the class of Schwarzian functions w(z) = ∑ dk z k k =1
Summary
Let A be the class of analytic functions of the form By S we denote the class of functions f (z)∈ A and univalent in E. Let U be the class of Schwarzian functions w(z) = ∑ dk z k k =1 Let f and g be two analytic functions in E.
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