Closure properties of generalized $\lambda$-Hadamard product for a class of meromorphic Janowski functions

Tao He; Shu-Hai Li; Li-Na Ma; Huo Tang; Tao He; Shu-Hai Li; Li-Na Ma; Huo Tang

doi:10.3934/math.2021102

AIMS Mathematics

2021, Volume 6, Issue 2: 1715-1726. doi: 10.3934/math.2021102

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Research article

Closure properties of generalized $\lambda$-Hadamard product for a class of meromorphic Janowski functions

1.
School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, Inner Mongolia, China
2.
Laboratory of Mathematics and Complex Systems, Chifeng University, Chifeng 024000, Inner Mongolia, China

Received: 26 August 2020 Accepted: 07 November 2020 Published: 27 November 2020
MSC : 30C65, 30C45

In this paper, we introduce a class of meromorphic starlike function by subordination relationship and generalized $\lambda$-Hadamard product. We obtain the necessary and sufficient conditions and closure properties of the class. In addition, some new results of the class are given.
- meromorphic function,
- Janowski functions,
- Hadamard product,
- generalized $\lambda$-Hadamard product,
- closure property
Citation: Tao He, Shu-Hai Li, Li-Na Ma, Huo Tang. Closure properties of generalized $\lambda$-Hadamard product for a class of meromorphic Janowski functions[J]. AIMS Mathematics, 2021, 6(2): 1715-1726. doi: 10.3934/math.2021102

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Abstract

In this paper, we introduce a class of meromorphic starlike function by subordination relationship and generalized $\lambda$-Hadamard product. We obtain the necessary and sufficient conditions and closure properties of the class. In addition, some new results of the class are given.

References

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