UPPER BOUND FOR THIRD HANKEL DETERMINANT OF A CLASS OF ANALYTIC FUNCTIONS
UPPER BOUND FOR THIRD HANKEL DETERMINANT OF A CLASS OF ANALYTIC FUNCTIONS
S. Verma, R. Kumar, G.Murugusundaramoorthy
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Abstract
We establish upper bounds for second Hankel determinant, the Fekete-Szego functional and third Hankel determinant for normalized analytic functions f 2 W ( ; ); W ( ; ) = f : Re (1 + 2 ) f(z) z + ( 2 )f0(z) + zf00(z) > ; where ; 0 and < 1. Also, we show that these bounds reduce to the bounds of some well-known classes for particular choices of parameters ; and .
Keywords
Analytic functions, Coe cient inequalities, Hankel determinant, Fekete- Szego.