Bruck conjecture and certain solution of some differential equation.

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Published: Oct 1, 2020
DOI: https://doi.org/10.5556/j.tkjm.51.2020.2985
Keywords:
Meromorphic function uniqueness Differential Monomial shared values finite order. Solution

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Molla Basir Ahamed
KALIPADA GHOSH TARAI MAHAVIDYALAYA
https://orcid.org/0000-0002-6949-020X

Abstract

We investigate on the famous Br$ \ddot{u} $ck conjecture further, and improved some of the existing results by extending them up to a differential monomial $ M[f] $ sharing small function with certain power of $ f^{d_M} $ of a meromorphic function. We have found the class of the meromorphic function satisfying the relation $ f^{d_M}\equiv M[f] $. For the generalizing our main results further up to a differential polynomial $ P[f] $, some relevant  questions finally have been posed for further study in this direction.

Article Details

How to Cite
Ahamed, M. B. (2020). Bruck conjecture and certain solution of some differential equation. Tamkang Journal of Mathematics, 51(3), 245–259. https://doi.org/10.5556/j.tkjm.51.2020.2985
Issue
Vol. 51 No. 3 (2020)
Section
Papers
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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Author Biography

Molla Basir Ahamed, KALIPADA GHOSH TARAI MAHAVIDYALAYA

Department of Mathematics

Assistant Professor

References

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