STRONG UNBOUNDEDNESS OF UNBOUNDED ANALYTIC-FUNCTIONS

被引：1

作者：

GORDON, AY

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 122卷 / 02期

关键词：

D O I：

10.2307/2161044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that if f is an unbounded analytic function in the open unit disc D, then there must exist a sequence (z(n)) in D such that for every j = 0, 1, 2,..., f((j))(z(n)) --> infinity as n --> infinity. This answers affirmatively a question asked by J. Langley and L. Rubel in 1984.

引用

页码：525 / 529

页数：5

共 50 条

[31] ANALYTIC-FUNCTIONS WITH GAPS
FRANK, JL
SHAW, JK
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (03): : A393 - A393
[32] SUMMATION OF ANALYTIC-FUNCTIONS
BELYAEV, VA
MATHEMATICAL NOTES, 1976, 19 (1-2) : 3 - 6
[33] INEQUALITY FOR ANALYTIC-FUNCTIONS
KAMOWITZ, H
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 46 (02) : 234 - 238
[34] RESTRICTIONS OF ANALYTIC-FUNCTIONS
ROSENBLUM, M
ROVNYAK, J
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (01): : A124 - A125
[35] BOUNDS OF ANALYTIC-FUNCTIONS
CATER, FS
AMERICAN MATHEMATICAL MONTHLY, 1983, 90 (05): : 339 - 340
[36] ON APPROXIMATION OF ANALYTIC-FUNCTIONS BY RATIONAL FUNCTIONS
PROKHOROV, VA
DOKLADY AKADEMII NAUK, 1992, 327 (4-6) : 438 - 441
[37] FUNCTIONS WITH FINITE INTERSECTIONS WITH ANALYTIC-FUNCTIONS
BUCZOLICH, Z
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1989, 112 : 271 - 275
[38] MEROMORPHIC FUNCTIONS AND SMOOTH ANALYTIC-FUNCTIONS
KAUFMAN, R
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 61 (02) : 272 - 274
[39] RATIONAL APPROXIMATION OF ANALYTIC-FUNCTIONS
GONCHAR, AA
LECTURE NOTES IN MATHEMATICS, 1984, 1043 : 471 - 474
[40] EULER SPACES OF ANALYTIC-FUNCTIONS
ROVNYAK, J
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 308 (01) : 197 - 208

← 1 2 3 4 5 →