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Location of the Zeros of Harmonic Trinomials

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Abstract

In this paper, we mainly determine the zero inclusion regions of certain harmonic trinomials and illustrate our results with several examples. It is considered to be the harmonic version of locating the zeros of harmonic trinomials, compared with the results on the location of the zeros of analytic trinomials obtained by Melman.

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Acknowledgements

We would like to thank the editors and reviewers for their valuable suggestions which can significantly improve the paper. The first two authors are supported by the National Natural Science Foundation of China under Grant (Nos. 12071047, 12171264). The third author is supported by National Natural Science Foundation of China (No. 12071116) and the Hunan Provincial Natural Science Foundation of China (No. 2021JJ30057).

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Authors and Affiliations

  1. School of Science, China University of Mining and Technology, Beijing, 100083, People’s Republic of China

    Linkui Gao & Junyang Gao

  2. College of Mathematics and Statistics, Hengyang Normal University, Hengyang, 421008, Hunan, People’s Republic of China

    Gang Liu

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  1. Linkui Gao
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  2. Junyang Gao
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  3. Gang Liu
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Correspondence to Junyang Gao.

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Communicated by Saminathan Ponnusamy.

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Gao, L., Gao, J. & Liu, G. Location of the Zeros of Harmonic Trinomials. Bull. Malays. Math. Sci. Soc. 46, 34 (2023). https://doi.org/10.1007/s40840-022-01416-8

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