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Meromorphic functions sharing values partially with their derivatives and shifts

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Abstract

In this article, we study some uniqueness results of non-constant meromorphic functions whose k-th derivatives share values partially with their shifts supporting the hyper-order strictly less than 1. Moreover, our results improve and extend some related results. In addition, some examples are demonstrated for the sharpness of the results.

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Funding

This study was funded by UGC India (F.16-6(DEC.2016)/2017(NET))

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Aliah University, Kolkata, 700160, West Bengal, India

    Imrul Kaish & Rana Mondal

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  1. Imrul Kaish
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  2. Rana Mondal
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Correspondence to Imrul Kaish.

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Author I. Kaish declares that he has no conflict of interest. Author R. Mondal has received research grant from UGC India.

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This article does not contain any studies with human participants or animals performed by any of the authors.

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Communicated by Samy Ponnusamy.

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Kaish, I., Mondal, R. Meromorphic functions sharing values partially with their derivatives and shifts. J Anal 31, 329–342 (2023). https://doi.org/10.1007/s41478-022-00447-5

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  • DOI: https://doi.org/10.1007/s41478-022-00447-5

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