On the study of Brück conjecture and some non-linear complex differential equations

In this paper, we prove the following result: Let f(z) and α(z) be two non-constant entire functions satisfying σ(α)<μ(f) and P(z) be a polynomial. If f is a non-constant entire solution of the differential equation M[f]+β(z)−α(z)=(fγM−α(z))eP(z), where β(z) is an entire function satisfying σ(β)&...

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Bibliographic Details
Main Authors: Dilip Ch. Pramanik, Manab Biswas, Rajib Mandal
Format: Article
Language:English
Published: Emerald Publishing 2017-07-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516616300354