FEKETE SZEGÖ PROBLEM ON THE CLASS OF BAZILEVIČ FUNCTIONS B1(α) RELATED TO THE LEMNISCATE BERNOULLI

N. M. Asih; S. A.Adatul Fitri; Ratno Bagus Edy Wibowo

FEKETE SZEGÖ PROBLEM ON THE CLASS OF BAZILEVIČ FUNCTIONS B₁(α) RELATED TO THE LEMNISCATE BERNOULLI

Faculty of Mathematics and Natural Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We provide a sharp boundaries inequalities for Fekete Szegö problem |a₃ − µa²₂|, the coefficients of logarithmic function log f(z)/z, and the coefficients of the inverse function f(f⁰(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.

Original language	English
Article number	15
Journal	Australian Journal of Mathematical Analysis and Applications
Volume	19
Issue number	2
Publication status	Published - 2022

Keywords

Bazilevič functions B1(α)
Fekete Szegö problem
Inverse function
Lemniscate Bernoulli
Logarithmic function
Subordination
Univalent

Cite this

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title = "FEKETE SZEG{\"O} PROBLEM ON THE CLASS OF BAZILEVI{\v C} FUNCTIONS B1(α) RELATED TO THE LEMNISCATE BERNOULLI",

abstract = "We provide a sharp boundaries inequalities for Fekete Szeg{\"o} problem |a3 − µa22|, the coefficients of logarithmic function log f(z)/z, and the coefficients of the inverse function f(f0(w)) on the Bazilevi{\v c} 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.",

keywords = "Bazilevi{\v c} functions B1(α), Fekete Szeg{\"o} problem, Inverse function, Lemniscate Bernoulli, Logarithmic function, Subordination, Univalent",

author = "Asih, \{N. M.\} and Marjono and Fitri, \{S. A.Adatul\} and Wibowo, \{Ratno Bagus Edy\}",

year = "2022",

language = "English",

volume = "19",

journal = "Australian Journal of Mathematical Analysis and Applications",

issn = "1449-5910",

publisher = "Austral Internet Publishing",

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T1 - FEKETE SZEGÖ PROBLEM ON THE CLASS OF BAZILEVIČ FUNCTIONS B1(α) RELATED TO THE LEMNISCATE BERNOULLI

AU - Asih, N. M.

AU - Marjono,

AU - Fitri, S. A.Adatul

AU - Wibowo, Ratno Bagus Edy

PY - 2022

Y1 - 2022

N2 - We provide a sharp boundaries inequalities for Fekete Szegö problem |a3 − µa22|, the coefficients of logarithmic function log f(z)/z, and the coefficients of the inverse function f(f0(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.

AB - We provide a sharp boundaries inequalities for Fekete Szegö problem |a3 − µa22|, the coefficients of logarithmic function log f(z)/z, and the coefficients of the inverse function f(f0(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.

KW - Bazilevič functions B1(α)

KW - Fekete Szegö problem

KW - Inverse function

KW - Lemniscate Bernoulli

KW - Logarithmic function

KW - Subordination

KW - Univalent

UR - https://www.scopus.com/pages/publications/105043153430

M3 - Article

AN - SCOPUS:105043153430

SN - 1449-5910

VL - 19

JO - Australian Journal of Mathematical Analysis and Applications

JF - Australian Journal of Mathematical Analysis and Applications

IS - 2

M1 - 15

ER -

FEKETE SZEGÖ PROBLEM ON THE CLASS OF BAZILEVIČ FUNCTIONS B₁(α) RELATED TO THE LEMNISCATE BERNOULLI

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Keywords

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