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

^*Corresponding author for this work

School of Mathematical Sciences

Shandong University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	39-46
Number of pages	8
Journal	Annales Polonici Mathematici
Volume	109
Issue number	1
DOIs	https://doi.org/10.4064/ap109-1-3
State	Published - 2013

Keywords

Entire
Small function
Solution
q-difference

Access to Document

10.4064/ap109-1-3

Cite this

@article{9ad81a85d22e448d81531cd9b1177474,

title = "Entire solutions of q-difference equations and value distribution of q-difference polynomials",

abstract = "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.",

keywords = "Entire, Small function, Solution, q-difference",

author = "Jilong Zhang and Lianzhong Yang",

year = "2013",

doi = "10.4064/ap109-1-3",

language = "英语",

volume = "109",

pages = "39--46",

journal = "Annales Polonici Mathematici",

issn = "0066-2216",

publisher = "Institute of Mathematics. Polish Academy of Sciences",

number = "1",

}

TY - JOUR

T1 - Entire solutions of q-difference equations and value distribution of q-difference polynomials

AU - Zhang, Jilong

AU - Yang, Lianzhong

PY - 2013

Y1 - 2013

N2 - 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.

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

U2 - 10.4064/ap109-1-3

DO - 10.4064/ap109-1-3

M3 - 文章

AN - SCOPUS:84879044808

SN - 0066-2216

VL - 109

SP - 39

EP - 46

JO - Annales Polonici Mathematici

JF - Annales Polonici Mathematici

IS - 1

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this