Volume 18, No. 6, 2021

Second Hankel Determinent For Certain Classes Of Univalent Functions Leading To Starlike And Other Classes


Gurmeet Singh , Misha Rani

Abstract

Let A1 denote the class of functions ? ? = = + 2 ( ) n n n f z z a z which are analytic in the unit disc given by E = {z : |z| <1}. Let U? denote the subclass of functions in A1 which satisfy the conditions 0 ( ). ( ) ? ? z f z f z and for 0 ?? ?1, ( ) 0 ( ) ( ( )) 1 ( ) ( ) Re ?? ? ? ? ? ? ? ? ? + ? ? f z zf z f z zf z ? ? . We are interested in determining the sharp upper bound for the functional 2 2 4 3 a a ? a for the class U? .


Pages: 6238-6249

Keywords: Analytic functions, univalent functions, starlike functions, convex functions, ? convex functions, Bazilevic functions.

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