Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations

• Autorzy: Li-Qin Luo , Xiu-Min Zheng
• Języki publikacji: EN

Abstrakty

EN

In this paper, we investigate the value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations, and obtain the results on the relations between the order of the solutions and the convergence exponents of the zeros, poles, a-points and small function value points of the solutions, which show the relations in the case of non-homogeneous equations are sharper than the ones in the case of homogeneous equations.

Słowa kluczowe

EN

Complex linear differential-difference equation; Meromorphic solution; Small function; Order; Convergence exponent

Kategorie tematyczne

• 39A10: Difference equations, additive
• 39B32: Equations for complex functions
• 30D35: Distribution of values, Nevanlinna theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 970-976

Daty

wydano

2016-01-01

otrzymano

2016-08-17

zaakceptowano

2016-10-11

online

2016-12-12

Twórcy

autor

Li-Qin Luo

• Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchang, 330022,

autor

Xiu-Min Zheng

• Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchang, 330022,

Identyfikatory

DOI

10.1515/math-2016-0087