SOME INEQUALITIES FOR ENTIRE-FUNCTIONS OF EXPONENTIAL-TYPE

被引：6

作者：

GARDNER, RB ^{[1
]}

GOVIL, NK ^{[1
]}

机构：

[1] AUBURN UNIV,DEPT MATH,AUBURN,AL 36849

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 09期

关键词：

SPECIAL CLASSES OF ENTIRE FUNCTIONS AND GROWTH ESTIMATES; INEQUALITIES IN THE COMPLEX DOMAIN; APPROXIMATION IN THE COMPLEX DOMAIN;

D O I：

10.2307/2160571

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If f(Z) is an asymmetric entire function of exponential type tau, GRAPHICS then according to a well-known result of R. P. Boas, \\f'\\ less than or equal to (tau)/2 \\f\\ and \f(x + iy)\ less than or equal to (e tau\y\+1)/2//f//, -infinity < x < infinity, -infinity < y < less than or equal to 0. Both of these inequalities are sharp. In this paper we generalize the above two inequalities of Boas by proving a sharp inequality which, besides giving as special cases the above two inequalities of Boas, yields some other results as well.

引用

页码：2757 / 2761

页数：5

共 5 条

[1] Boas R. P., 1954, ENTIRE FUNCTIONS
[2] Boas R. P., 1957, ILLINOIS J MATH, V1, P94
[3] INEQUALITY FOR FUNCTIONS OF EXPONENTIAL TYPE NOT VANISHING IN A HALF-PLANE
GOVIL, NK
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 65 (02) : 225 - 229
[4] LEVIN BY, 1950, IZV AKAD NAUK SSSR M, V14, P45
[5] EXTENSION OF A THEOREM OF LAGUERRE TO ENTIRE-FUNCTIONS OF EXPONENTIAL TYPE
RAHMAN, QI
SCHMEISSER, G
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 122 (02) : 463 - 468

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