On the distribution of values and deficient function of a general random integral function

被引：0

作者：

Tian, FJ

机构：

[1] Hubei Univ, Inst Math & Comp Sci, Wuhan 430062, Peoples R China

[2] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2001年 / 21卷 / 03期

关键词：

random integral function; deficient function; order of growth;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under suitable conditions on {X-n}, the author obtains the important results: it is almost sure that the random integral function f(w) = Sigma (infinity)(n=0) X(n)z(n) (of finite positive order) has no deficient function, and any direction is a Borel direction (without finite exceptional value) of f(w).

引用

页码：363 / 368

页数：6

共 50 条

[21] ON VALUES OF THE RIEMANN ZETA FUNCTION AT INTEGRAL ARGUMENTS
EWELL, JA
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1991, 34 (01): : 60 - 66
[22] INTEGRAL EQUATION FOR PAIR DISTRIBUTION FUNCTION
MORITA, T
HIROIKE, K
PROGRESS OF THEORETICAL PHYSICS, 1960, 23 (02): : 385 - 387
[23] DISTRIBUTION FUNCTION INEQUALITIES FOR AREA INTEGRAL
BURKHOLDER, DL
GUNDY, RF
STUDIA MATHEMATICA, 1972, 44 (06) : 527 - 544
[24] ON THE LIMIT OF THE AVERAGE OF THE VALUES OF A FUNCTION AT RANDOM POINTS
HOGNAS, G
MUKHERJEA, A
LECTURE NOTES IN MATHEMATICS, 1984, 1064 : 204 - 218
[25] A note on the distribution of values of an arithmetical, function
Adhikari, SD
Thangadurai, R
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1995, 26 (10): : 931 - 935
[26] On the distribution of the values of the Riemann zeta function
Bohr, H
Jessen, B
AMERICAN JOURNAL OF MATHEMATICS, 1936, 58 : 35 - 44
[27] DISTRIBUTION OF ADDITIVE FUNCTION VALUES ON A PROGRESSION
POPOV, GA
DOKLADY AKADEMII NAUK SSSR, 1971, 200 (02): : 290 - &
[28] DISTRIBUTION FUNCTION VALUES FOR LOGSTABLE DISTRIBUTIONS
PANTON, DB
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1993, 25 (09) : 17 - 24
[29] On distribution function of orthogonal polynomial values
Buyarov, VS
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1998, (04): : 3 - 5
[30] On the general thermodynamic integral Factor of Entropy Function
Press, A.
ZEITSCHRIFT FUR PHYSIK, 1929, 56 (1-2): : 131 - 146

← 1 2 3 4 5 →