The q-Difference Theorems for Meromorphic Functions of Several Variables

被引：6

作者：

Wen, Zhi-Tao ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

COMPLEX-VARIABLES; NEVANLINNA THEORY; LEMMA; EQUATIONS; OPERATOR;

D O I：

10.1155/2014/736021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate q-shift analogue of the lemma on logarithmic derivative of several variables. Let f be a meromorphic function in C-n of zero order such that f(0) not equal 0, infinity, and let q is an element of C-n\{0}. Then we have m(r, f (qz)/f(z)) = o(T(r, f)) on a set of logarithmic density 1. The q-shift analogue of the first and the second main theorems of Nevanlinna theory of several variables and their applications is also shown..

引用

页数：6

共 17 条

[1]

[Anonymous], 1964, OXFORD MATH MONOGRAP

[2]

[Anonymous], 2003, MATH APPL

[3]

Barnett DC, 2007, P ROY SOC EDINB A, V137, P457, DOI 10.1017/S0308210506000102

[4]

BIANCOFIORE A, 1981, ANN MATH STUD, P29

[5]

Clunie J., 1962, J LOND MATH SOC, V37, P17

[6]

Halburd RG, 2006, ANN ACAD SCI FENN-M, V31, P463

[7] Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations [J].

Halburd, RG ;

Korhonen, RJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 314 (02) :477-487

[8] HOLOMORPHIC CURVES WITH SHIFT-INVARIANT HYPERPLANE PREIMAGES [J].

Halburd, Rodney ;

Korhonen, Risto ;

Tohge, Kazuya .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 366 (08) :4267-4298

[9]

Hayman WK., 1965, Proc. Lond. Math. Soc. (3), V14A, P93, DOI [10.1112/plms/s3-14A.1.93, DOI 10.1112/PLMS/S3-14A.1.93]

[10]

Hu P.C., 2003, Advances in Complex Analysis and Its Applications, V1

← 1 2 →