Q-shift Difference Polynomials Research Articles

Uniqueness of differential q-shift difference polynomials of entire functions

Uniqueness of differential q-shift difference polynomials of entire functions

The value distributions and uniqueness of q-shift difference polynomials of entire functions

We first consider the zeros of a big class generalized q-difference polynomials in entire function which come from the Hayman problem. Second, we research about uniqueness result of the class q-difference polynomials in entire function which share a value. Our results improved or generalize the previous known results.

Uniqueness and variable sharing of q-shift difference polynomials of entire functions

In this paper, we study weighted sharing and characteristics of q-shift difference polynomials of entire functions and obtain a uniqueness theorem concerning weighted z-sharing of certain q-shift difference-differential polynomials of entire functions.

Uniqueness and variable sharing of q-shift difference polynomials of entire functions

In this paper, we study weighted sharing and characteristics of q-shift difference polynomials of entire functions and obtain a uniqueness theorem concerning weighted z-sharing of certain q-shift difference-differential polynomials of entire functions.

Some results on value distribution and uniqueness for q-shift difference polynomials of meromorphic functions

Some results on value distribution and uniqueness for q-shift difference polynomials of meromorphic functions

Results on certain types of q-shift difference polynomials

In this paper, we deal with value distribution for q-shift difference polynomials of transcendental entire and meromorphic functions with zero order. The results of this paper improve the previous theorems given by Zhao and Zhang (J Contemp Math Anal 50(2):63–69, 2015).

Uniqueness of q-shift difference polynomials of meromorphic functions sharing a small function

Uniqueness of q-shift difference polynomials of meromorphic functions sharing a small function

Some Uniqueness Results of Q-Shift Difference Polynomials Involving Sharing Functions

In this paper, we mainly study the uniqueness of specific q-shift difference polynomials and of meromorphic functions, which share a common small function and get the corresponding results. In addition, we also investigate the problem of value distribution on q-shift difference polynomials of entire functions.

Zeros and shared one value of q-shift difference polynomials

In this paper, we investigate uniqueness problems and zero distributions of q-shift difference polynomials of meromorphic functions with zero order in the complex plane. The obtained results extend some previous known results.

Properties of q-shift difference-differential polynomials of meromorphic functions

Abstract In this paper, we deal with the zeros of the q-shift difference-differential polynomials [ P ( f ) ∏ j = 1 d f ( q j z + c j ) s j ] ( k ) − α ( z ) and ( P ( f ) ∏ j = 1 d [ f ( q j z + c j ) − f ( z ) ] s j ) ( k ) − α ( z ) , where P ( f ) is a nonzero polynomial of degree n, q j , c j ∈ C ∖ { 0 } ( j = 1 , … , d ) are constants, n , d , s j ( j = 1 , … , d ) ∈ N + and α ( z ) is a small function of f. The results of this paper are an extension of the previous theorems given by Chen and Chen and Qi. We also investigate the value sharing for q-shift difference polynomials of entire functions and obtain some results which extend the recent theorem given by Liu, Liu and Cao. MSC:39A50, 30D35.

The zeros of q-shift difference polynomials of meromorphic functions

In this paper, we investigate the value distribution of difference polynomials and related to two well-known differential polynomials, where is a meromorphic function with finite logarithmic order. MSC:30D35, 39B12.

Uniqueness and zeros of q-shift difference polynomials

In this paper, we consider the zero distributions of q-shift difference polynomials of meromorphic functions with zero order, and obtain two theorems that extend the classical Hayman results on the zeros of differential polynomials to q-shift difference polynomials. We also investigate the uniqueness problem of q-shift difference polynomials that share a common value.