SOME GEOMETRIC PROPERTIES OF MULTIVALENT ANALYTIC FUNCTIONS ASSOCIATED WITH THE LEMNISCATE OF BERNOULLI

Lian-Bo Yang; Yuan Yuan; Jin-Lin Liu

doi:10.11948/20190411

2021 Volume 11 Issue 2

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Lian-Bo Yang, Yuan Yuan, Jin-Lin Liu. SOME GEOMETRIC PROPERTIES OF MULTIVALENT ANALYTIC FUNCTIONS ASSOCIATED WITH THE LEMNISCATE OF BERNOULLI[J]. Journal of Applied Analysis & Computation, 2021, 11(2): 790-797. doi: 10.11948/20190411

Citation:

Lian-Bo Yang, Yuan Yuan, Jin-Lin Liu. SOME GEOMETRIC PROPERTIES OF MULTIVALENT ANALYTIC FUNCTIONS ASSOCIATED WITH THE LEMNISCATE OF BERNOULLI[J]. Journal of Applied Analysis & Computation, 2021, 11(2): 790-797. doi: 10.11948/20190411

SOME GEOMETRIC PROPERTIES OF MULTIVALENT ANALYTIC FUNCTIONS ASSOCIATED WITH THE LEMNISCATE OF BERNOULLI

1.
Department of Mathematics, Maanshan Teacher's College, Maanshan 243000, China
2.
Department of Mathematics, Yangzhou University, Yangzhou 225002, China

Corresponding author: Email address: jlliu@yzu.edu.cn(J. Liu)
Fund Project: This work is supported by the National Natural Science Foundation of China (Grant No. 11571299) and by Gaoxiao Natural Science Foundation of Anhui Province (Grant No. KJ2019A1198)

Abstract

Abstract

By using the first-order differential subordination, a new class $ \mathcal{M}_n(\alpha) $ of multivalent analytic functions associated with the lemniscate of Bernoulli is introduced. Several geometric properties of this class are given.
- Analytic function /
- differential subordination /
- Lemniscate of Bernoulli
MSC: 30C45, 30C80

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References

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