Paper Title:

Fekete Szegö problem on the Class of Bazilevič functions B₁(α) related to the Lemniscate Bernoulli

Author(s):

N. M. Asih, Marjono, Sa'adatul Fitri, Ratno Bagus Edy Wibowo

Department of Mathematics,
University of Brawijaya,
Malang 65145,
Indonesia.
Department of Mathematics,
University of Udayana,
Bali,
Indonesia.
E-mail: madeasih@unud.ac.id

Department of Mathematics,
University of Brawijaya,
Malang 65145,
Indonesia.
E-mail: marjono@ub.ac.id

Department of Mathematics,
University of Brawijaya,
Malang 65145,
Indonesia.
E-mail: saadatulfitri@ub.ac.id

Department of Mathematics,
University of Brawijaya,
Malang 65145,
Indonesia.
E-mail: rbagus@ub.ac.id

Abstract:

We provide a sharp boundaries inequalities for Fekete Szegö problem |a₃-μ a₂²|, the coefficients of logarithmic function log~ f(z)/z, and the coefficients of the inverse function f(f'(w)) on the Bazilevič functions B₁(α) related to the Lemniscate Bernoulli on the unit disk D={z: |z| < 1}. We obtained the result by using some properties of function with positive real part relates to coefficients problems.

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