An analogue of continued fractions in number theory for Nevanlinna theory

被引：0

作者：

Ye, Z ^{[1
]}

机构：

[1] No Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 356卷 / 12期

关键词：

continued fraction; meromorphic function; approximation;

D O I：

10.1090/S0002-9947-04-03709-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show an analogue of continued fractions in approximation to irrational numbers by rationals for Nevanlinna theory. The analogue is a sequence of points in the complex plane which approaches a given finite set of points and at a given rate in the sense of Nevanlinna theory.

引用

页码：4829 / 4838

页数：10

共 50 条

[21] ON THE METRIC THEORY OF NEAREST INTEGER CONTINUED FRACTIONS
RIESEL, H
BIT, 1987, 27 (02): : 248 - 263
[22] ON THE METRIC THEORY OF CONTINUED FRACTIONS IN POSITIVE CHARACTERISTIC
Lertchoosakul, Poj
Nair, Radhakrishnan
MATHEMATIKA, 2014, 60 (02) : 307 - 320
[23] RECURRENCE RELATIONS AND CONTINUED FRACTIONS IN LASER THEORY
RISKEN, H
VOLLMER, HD
ACTA PHYSICA AUSTRIACA, 1985, 57 (02): : 75 - 87
[24] APPLICATIONS OF CONTINUED FRACTIONS IN FUNCTION-THEORY
FRANK, E
LECTURE NOTES IN MATHEMATICS, 1983, 1013 : 239 - 251
[25] A PROBLEM IN FRACTIONAL DIMENSION THEORY OF CONTINUED FRACTIONS
HIRST, KE
QUARTERLY JOURNAL OF MATHEMATICS, 1970, 21 (81): : 29 - &
[26] METRIC THEORY OF CONTINUED FRACTIONS BY NEAREST INTEGERS
RIEGER, GJ
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (02): : A270 - A270
[27] SPECTROSCOPIC BAND SHAPES AND THE THEORY OF CONTINUED FRACTIONS
PAUL, R
THEOCHEM-JOURNAL OF MOLECULAR STRUCTURE, 1981, 2 (3-4): : 215 - 233
[28] MARTINGALE DIFFERENCES AND THE METRIC THEORY OF CONTINUED FRACTIONS
Haynes, Alan K.
Vaaler, Jeffrey D.
ILLINOIS JOURNAL OF MATHEMATICS, 2008, 52 (01) : 213 - 242
[29] FOUNDATIONS OF THE THEORY OF CONTINUED FRACTIONS .1.
LANE, RE
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 55 (11) : 1059 - 1059
[30] ERGODIC-THEORY FOR COMPLEX CONTINUED FRACTIONS
SCHMIDT, AL
MONATSHEFTE FUR MATHEMATIK, 1982, 93 (01): : 39 - 62

← 1 2 3 4 5 →