Majorization results for non vanishing analytic functions in different domains

Huo Tang; Muhammad Arif; Khalil Ullah; Nazar Khan; Bilal Khan; Huo Tang; Muhammad Arif; Khalil Ullah; Nazar Khan; Bilal Khan

doi:10.3934/math.20221081

AIMS Mathematics

2022, Volume 7, Issue 11: 19727-19738. doi: 10.3934/math.20221081

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Research article

Majorization results for non vanishing analytic functions in different domains

1.
School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, Inner Mongolia, China
2.
Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan
3.
Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan
4.
School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, China

Received: 24 May 2022 Revised: 27 July 2022 Accepted: 16 August 2022 Published: 06 September 2022
MSC : Primary 05A30, 30C45, Secondary 11B65, 47B38

In recent years, many authors have studied and investigated majorization results for different subclasses of analytic functions. In this paper, we give some majorization results for certain non vanishing analytic functions, whose ratios are subordinated to different domains in the open unit disk.
- univalent function,
- starlike function,
- majorization problem
Citation: Huo Tang, Muhammad Arif, Khalil Ullah, Nazar Khan, Bilal Khan. Majorization results for non vanishing analytic functions in different domains[J]. AIMS Mathematics, 2022, 7(11): 19727-19738. doi: 10.3934/math.20221081

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Abstract

In recent years, many authors have studied and investigated majorization results for different subclasses of analytic functions. In this paper, we give some majorization results for certain non vanishing analytic functions, whose ratios are subordinated to different domains in the open unit disk.

References

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