Coefficient Inequality for Multivalent Bounded Turning Functions of Order Α

Abstract

The objective of this paper is to obtain the sharp upper bound to the H 2 (p + 1), second Hankel determinant for p-valent (multivalent) analytic bounded turning functions (also called functions whose derivatives have positive real parts) of order α (0 ≤ α < 1), using Toeplitz determinants. The result presented here includes three known results as their special cases.