ON THE DISTRIBUTION OF VALUES AND DEFICIENT FUNCTION OF A GENERAL RANDOM INTEGRAL FUNCTION

数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (3): 363-368.

ON THE DISTRIBUTION OF VALUES AND DEFICIENT FUNCTION OF A GENERAL RANDOM INTEGRAL FUNCTION

田范基

Institute of Mathematics and Computer Sciences, Hubei University, Wuhan 430062, China
Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China

出版日期:2001-07-06 发布日期:2001-07-06

ON THE DISTRIBUTION OF VALUES AND DEFICIENT FUNCTION OF A GENERAL RANDOM INTEGRAL FUNCTION

TIAN Fan-Ji

Institute of Mathematics and Computer Sciences, Hubei University, Wuhan 430062, China
Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China

Online:2001-07-06 Published:2001-07-06

摘要/Abstract

摘要：

Under suitable conditions on {Xn}, the author obtains the important results: it is almost sure that the random integral function f! =1P n=0 Xnzn (of finite positive order) has no deficient function, and any direction is a Borel direction (without finite exceptional value) of f!.

关键词: Random integral function, deficient function, order of growth

Abstract:

Key words: Random integral function, deficient function, order of growth

中图分类号:

60E99

田范基. ON THE DISTRIBUTION OF VALUES AND DEFICIENT FUNCTION OF A GENERAL RANDOM INTEGRAL FUNCTION[J]. 数学物理学报(英文版), 2001, 21(3): 363-368.

TIAN Fan-Ji. ON THE DISTRIBUTION OF VALUES AND DEFICIENT FUNCTION OF A GENERAL RANDOM INTEGRAL FUNCTION[J]. Acta mathematica scientia,Series B, 2001, 21(3): 363-368.

ON THE DISTRIBUTION OF VALUES AND DEFICIENT FUNCTION OF A GENERAL RANDOM INTEGRAL FUNCTION

ON THE DISTRIBUTION OF VALUES AND DEFICIENT FUNCTION OF A GENERAL RANDOM INTEGRAL FUNCTION

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