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Certain properties of normal meromorphic and normal harmonic mappings

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Abstract

A function (meromorphic or harmonic) from the hyperbolic disk of the complex plane to the Riemann sphere is normal if its dilatation is bounded. In this paper, normal families of meromorphic functions is studied in view of sharing values by their differential monomials. Moreover, several properties of normal harmonic mappings are also studied in view of certain general settings.

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Acknowledgements

The authors would like to thank the referee for their helpful suggestions and insightful comments to improve the exposition of the paper. The first author is supported by “JU Research Grant” no.: S-3/10/22, dated: \(\frac{15}{17}.03.2022 \), Jadavpur University, West Bengal, India and the Second author is supported by CSIR-JRF (File No: 09/0096(12546)/2021-EMR-I, dated: 12/11/2021), Govt. of India, New Delhi.

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, West Bengal, 700032, India

    Molla Basir Ahamed & Sanju Mandal

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  1. Molla Basir Ahamed
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  2. Sanju Mandal
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Correspondence to Molla Basir Ahamed.

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Communicated by Adrian Constantin.

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Ahamed, M.B., Mandal, S. Certain properties of normal meromorphic and normal harmonic mappings. Monatsh Math 200, 719–736 (2023). https://doi.org/10.1007/s00605-022-01774-2

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