Proceedings of the Soedirman International Conference on Mathematics and Applied Sciences (SICOMAS 2021)

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Coefficient Estimates in the Class of Bazilevic Functions ℬ1(α) Related to the Lemniscate Bernoulli

Authors
Ni Made Asih1, 2, madeasih@unud.ac.id, Marjono Marjono2, marjono@ub.ac.id, Sa’adatul Fitri2, saadatulfitri@ub.ac.id, Ratno Bagus E.W2, rbagus@ub.ac.id
1Department of Mathematics, Udayana University, Indonesia
2Department of Mathematics, Brawijaya University, Indonesia
Corresponding Author
Available Online 25 May 2022.
DOI
10.2991/apr.k.220503.008How to use a DOI?
Keywords
Coefficient; Bazilevic functions ℬ1(α); Lemniscate Bernoulli; Subordination
Abstract

In this research, we estimate the coefficient in the class of Bazilevic functions ℬ1(α) related to the Lemniscate Bernoulli on the unit disk 𝔻={z:|z| < 1}, satisfying subordination condition [f′(z)(f(z)z)α−1]≺1+z, for z ∈ 𝔻. The upper bound of the modulus of a2 and a3 are determined.

Copyright
© 2022 The Authors. Published by Atlantis Press International B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license.

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Volume Title
Proceedings of the Soedirman International Conference on Mathematics and Applied Sciences (SICOMAS 2021)
Series
Advances in Physics Research
Publication Date
25 May 2022
ISBN
10.2991/apr.k.220503.008
ISSN
2352-541X
DOI
10.2991/apr.k.220503.008How to use a DOI?
Copyright
© 2022 The Authors. Published by Atlantis Press International B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license.

Cite this article

risenwbib
TY  - CONF
AU  - Ni Made Asih
AU  - Marjono Marjono
AU  - Sa’adatul Fitri
AU  - Ratno Bagus E.W
PY  - 2022
DA  - 2022/05/25
TI  - Coefficient Estimates in the Class of Bazilevic Functions ℬ₁(α) Related to the Lemniscate Bernoulli
BT  - Proceedings of the Soedirman International Conference on Mathematics and Applied Sciences (SICOMAS 2021)
PB  - Atlantis Press
SP  - 37
EP  - 39
SN  - 2352-541X
UR  - https://doi.org/10.2991/apr.k.220503.008
DO  - 10.2991/apr.k.220503.008
ID  - Asih2022
ER  -