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

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
https://doi.org/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)α1]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
978-94-6239-579-4
ISSN
2352-541X
DOI
https://doi.org/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

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  - https://doi.org/10.2991/apr.k.220503.008
ID  - Asih2022
ER  -