Sign in
On the Fekete-Szego Problem for Starlike Functions of Complex Order
Journal article   Peer reviewed

On the Fekete-Szego Problem for Starlike Functions of Complex Order

Hanan Darwish, Abdel-Moniem Lashin and Bashar Al Saeedi
Kyungpook mathematical journal, Vol.60(3), pp.477-484
01/09/2020

Abstract

Mathematics Physical Sciences Science & Technology
For a non-zero complex number b and for m and n in N-0 = {0, 1, 2, ...} let Psi(n,m) (b) denote the class of normalized univalent functions f satisfying the condition R [1 + 1/b (D(n+m)f(z)/D(n)f(z) - 1)] > 0 in the unit disk U, where D-n f (z) denotes the Salagean operator of f. Sharp bounds for the Fekete-Szego functional vertical bar a(3) - mu a(2)(2)vertical bar are obtained.

Metrics

1 Record Views

Details