linear differential polynomial
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2021 ◽  
Vol 73 (2) ◽  
pp. 201-221
Author(s):  
S. Majumder ◽  
A. Dam

UDC 517.5 With the idea of normal family we study the uniqueness of meromorphic functions and when and  share two values, where   and is a polynomial. The obtained result significantly improves and generalizes the result in [A. Banerjee, S. Majumder, <em>On certain non-linear differential polynomial sharing a non-zero polynomial</em>, Bol. Soc. Mat. Mex. (2016),https://doi.org/10.1007/s40590-016-0156-0].


2018 ◽  
Vol 22 (1) ◽  
pp. 125-136
Author(s):  
Imrul Kaish ◽  
Indrajit Lahiri

We study the uniqueness of entire functions, when they share a linear polynomial, in particular, fixed points, with their linear differential polynomials.


2017 ◽  
Vol 97 (2) ◽  
pp. 265-273
Author(s):  
INDRAJIT LAHIRI

We consider the uniqueness of an entire function and a linear differential polynomial generated by it. One of our results improves a result of Li and Yang [‘Value sharing of an entire function and its derivatives’, J. Math. Soc. Japan51(4) (1999), 781–799].


2002 ◽  
Vol 66 (2) ◽  
pp. 331-343 ◽  
Author(s):  
J. Heittokangas ◽  
R. Korhonen ◽  
I. Laine

In this paper, we consider the growth of meromorphic solutions of nonlinear differential equations of the form L (f) + P (z, f) = h (z), where L (f) denotes a linear differential polynomial in f, P (z, f) is a polynomial in f, both with small meromorphic coefficients, and h (z) is a meromorphic function. Specialising to L (f) − p (z) fn = h (z), where p (z) is a small meromorphic function, we consider the uniqueness of meromorphic solutions with few poles only. Our results complement earlier ones due to C.-C. Yang.


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