Entire solutions of q-difference equations and value distribution of q-difference polynomials

Jilong Zhang; Lianzhong Yang

doi:10.4064/ap109-1-3

Entire solutions of q-difference equations and value distribution of q-difference polynomials

Jilong Zhang^*
, Lianzhong Yang

^*此作品的通讯作者

数学科学学院

Shandong University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

We investigate the existence and uniqueness of entire solutions of order zero of the nonlinear q-difference equation of the form fⁿ(z) + L(z) = p(z), where p(z) is a polynomial and L(z) is a linear differential-q-difference polynomial of f with small growth coe_cients.We also study the zeros distribution of some special type of q-difference polynomials.

源语言	英语
页（从-至）	39-46
页数	8
期刊	Annales Polonici Mathematici
卷	109
期	1
DOI	https://doi.org/10.4064/ap109-1-3
出版状态	已出版 - 2013

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AU - Yang, Lianzhong

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AB - We investigate the existence and uniqueness of entire solutions of order zero of the nonlinear q-difference equation of the form fn(z) + L(z) = p(z), where p(z) is a polynomial and L(z) is a linear differential-q-difference polynomial of f with small growth coe_cients.We also study the zeros distribution of some special type of q-difference polynomials.

KW - Entire

KW - Small function

KW - Solution

KW - q-difference

UR - https://www.scopus.com/pages/publications/84879044808

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DO - 10.4064/ap109-1-3

M3 - 文章

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JO - Annales Polonici Mathematici

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Entire solutions of q-difference equations and value distribution of q-difference polynomials

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