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A Survey on a Conjecture of Rainer Brück

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Applied Mathematical Analysis: Theory, Methods, and Applications

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 177))

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Abstract

In 1996 Rainer Brück considered the uniqueness problem of an entire function that shares one value with its derivative. He proposed a conjecture on the single value sharing by an entire function with its first derivative[14]. Till date the conjecture of Brück is not completely resolved in its full generality. However it initiated a stream of research on a new branch of uniqueness theory. In the survey we intend to present the development of works done by several authors on the conjecture.

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Authors and Affiliations

  1. Department of Mathematics, University of Kalyani, West Bengal, 741235, India

    Indrajit Lahiri

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  1. Indrajit Lahiri
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Correspondence to Indrajit Lahiri .

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Editors and Affiliations

  1. Department of Mathematics, Gauhati University, Guwahati, India

    Hemen Dutta

  2. Computational Intelligence Laboratory, Department of Electrical & Computer Engineering, University of Manitoba, Winnipeg, MB, Canada

    James F. Peters

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Lahiri, I. (2020). A Survey on a Conjecture of Rainer Brück. In: Dutta, H., Peters, J. (eds) Applied Mathematical Analysis: Theory, Methods, and Applications. Studies in Systems, Decision and Control, vol 177. Springer, Cham. https://doi.org/10.1007/978-3-319-99918-0_4

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