A CLOSED FORM FOR THE DENSITY FUNCTIONS OF RANDOM WALKS IN ODD DIMENSIONS

被引：5

作者：

Borwein, Jonathan M. ^{[1
]}

Sinnamon, Corwin W. ^{[2
]}

机构：

[1] Univ Newcastle, CARMA, Newcastle, NSW 2303, Australia

[2] Univ Waterloo, Waterloo, ON N2L 3G1, Canada

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2016年 / 93卷 / 02期

关键词：

short random walks; generalised hypergeometric functions; Bessel integrals;

D O I：

10.1017/S0004972715001112

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive an explicit piecewise-polynomial closed form for the probability density function of the distance travelled by a uniform random walk in an odd-dimensional space.

引用

页码：330 / 339

页数：10

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