On solutions of some non-linear differential equations in connection to Bruck Conjecture

Dilip Candra Pamanik, Manab Biswas

Abstract


In this paper, we investigate on the non-constant entire solutions of some non-linear complex differential equations in connection to Br\"{u}ck conjecture and prove some results which improve and extend the results of Xu and Yang\bf{[Xu HY, Yang LZ. On a conjecture of R. Br\"{u}ck and some linear differential equations. Springer Plus 2015; 4:748,:1-10, DOI 10.1186/s40064-015-1530-5.]}

Keywords


Entire function, Nevanlinna Theory, Differential Equations in the Complex Domain

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References


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DOI: http://dx.doi.org/10.5556/j.tkjm.48.2017.2481

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