Results 11 to 20 of about 17,850 (309)

Sharing values of q-difference-differential polynomials

open access: yesAdvances in Difference Equations, 2020
This paper is devoted to the uniqueness of q-difference-differential polynomials of different types. Using the idea of common zeros and common poles (Chin. Ann. Math., Ser.
Jian Li, Kai Liu
doaj   +1 more source

Value Distributions and Uniqueness of Difference Polynomials

open access: yesAdvances in Difference Equations, 2011
We investigate the zeros distributions of difference polynomials of meromorphic functions, which can be viewed as the Hayman conjecture as introduced by (Hayman 1967) for difference.
Liu Kai, Liu Xinling, Cao TingBin
doaj   +2 more sources

On the Uniqueness Results and Value Distribution of Meromorphic Mappings

open access: yesMathematics, 2017
This research concentrates on the analysis of meromorphic mappings. We derived several important results for value distribution of specific difference polynomials of meromorphic mappings, which generalize the work of Laine and Yang.
Rahman Ullah   +4 more
doaj   +1 more source

Exponential Polynomials and Nonlinear Differential-Difference Equations

open access: yesJournal of Function Spaces, 2020
In this paper, we study finite-order entire solutions of nonlinear differential-difference equations and solve a conjecture proposed by Chen, Gao, and Zhang when the solution is an exponential polynomial.
Junfeng Xu, Jianxun Rong
doaj   +1 more source

On the ω-multiple Meixner polynomials of the first kind

open access: yesJournal of Inequalities and Applications, 2020
In this study, we introduce a new family of discrete multiple orthogonal polynomials, namely ω-multiple Meixner polynomials of the first kind, where ω is a positive real number.
Sonuç Zorlu Oğurlu, İlkay Elidemir
doaj   +1 more source

Orthogonal Polynomials with Singularly Perturbed Freud Weights

open access: yesEntropy, 2023
In this paper, we are concerned with polynomials that are orthogonal with respect to the singularly perturbed Freud weight functions. By using Chen and Ismail’s ladder operator approach, we derive the difference equations and differential-difference ...
Chao Min, Liwei Wang
doaj   +1 more source

Algebra of quantum C $$ \mathcal{C} $$ -polynomials

open access: yesJournal of High Energy Physics, 2021
Knot polynomials colored with symmetric representations of SL q (N) satisfy difference equations as functions of representation parameter, which look like quantization of classical A $$ \mathcal{A} $$ -polynomials.
Andrei Mironov, Alexei Morozov
doaj   +1 more source

On the difference between permutation polynomials

open access: yesFinite Fields and Their Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nurdagül Anbar   +5 more
openaire   +6 more sources

Value distribution of difference and q-difference polynomials [PDF]

open access: yesAdvances in Difference Equations, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Nan, Yang, Lianzhong
openaire   +1 more source

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