scholarly journals Uniqueness of entire functions concerning differential–difference polynomials sharing small functions

2022 ◽  
Author(s):  
Goutam Haldar
Keyword(s):  
Entire Functions ◽  
Small Functions ◽  
Difference Polynomials

On Entire Functions That Share Two Small Functions with Their Derivative

2018 ◽  
Vol 45 (3) ◽  
pp. 591-609
Author(s):  
Pulak Sahoo ◽  
Samar Halder
Keyword(s):  
Entire Functions ◽  
Small Functions

Uniqueness of entire functions sharing four small functions

1997 ◽  
Vol 119 (4) ◽  
pp. 841-858 ◽  
Author(s):  
Bao Qin Li
Keyword(s):  
Entire Functions ◽  
Small Functions

Uniqueness theorems for entire functions whose difference polynomials share a meromorphic function of a smaller order

2011 ◽  
Vol 102 (2) ◽  
pp. 111-127 ◽  
Author(s):  
Xiao-Min Li ◽  
Wen-Li Li ◽  
Hong-Xun Yi ◽  
Zhi-Tao Wen
Keyword(s):  
Meromorphic Function ◽  
Entire Functions ◽  
Uniqueness Theorems ◽  
Difference Polynomials

scholarly journals Relation between Small Functions with Differential Polynomials Generated by Solutions of Linear Differential Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
Zhigang Huang
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Linear Differential Equation ◽  
Entire Functions ◽  
Linear Differential Equations ◽  
Differential Polynomials ◽  
Small Functions ◽  
Linear Differential ◽  
The Relationship ◽  
Growth Of Solutions

This paper is devoted to studying the growth of solutions of second-order nonhomogeneous linear differential equation with meromorphic coefficients. We also discuss the relationship between small functions and differential polynomialsL(f)=d2f″+d1f′+d0fgenerated by solutions of the above equation, whered0(z),d1(z),andd2(z)are entire functions that are not all equal to zero.

Entire functions sharing sets of small functions with their difference operators or shifts

2013 ◽  
Vol 63 (6) ◽  
Author(s):  
BaoQin Chen ◽  
ZongXuan Chen
Keyword(s):  
Entire Functions ◽  
Difference Operators ◽  
Small Functions

AbstractWe show some interesting results concerning entire functions sharing two sets of small functions CM with their difference operators or shifts.

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