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

• Autorzy: Jilong Zhang , Lianzhong Yang
• Języki publikacji: EN

Abstrakty

EN

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 coefficients. We also study the zeros distribution of some special type of q-difference polynomials.

Kategorie tematyczne

• 39A05: General theory
• 30D35: Distribution of values, Nevanlinna theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 109
• Numer: 1
• Strony: 39-46

Daty

wydano

2013

Twórcy

autor

Jilong Zhang

• Beihang University, LMIB and School of, Mathematics & Systems Science, Beijing, 100191, P.R. China

autor

Lianzhong Yang

• School of Mathematics, Shandong University, Jinan, Shandong, 250100, P.R. China

Identyfikatory

DOI

10.4064/ap109-1-3