THIRD HANKEL DETERMINANT FOR A SUBCLASS OF ALPHA CONVEX FUNCTIONS

Author's Name: Gagandeep Singh & Gurcharanjit Singh
Subject Area: Science and Engineering
Subject Mathematics
Section Research Paper

Keyword:

Analytic functions, Starlike functions, Convex functions, Alpha convex functions, Third Hankel determinant.


Abstract

In this paper a sharp upper bound of third Hankel determinant H3(1) for the functions belonging to a subclass of alpha convex functions is established. By giving the particular values to alpha, it is easy to obtain the upper bound of H3(1) for starlike and convex functions.

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