On the Computation of Gauss Hypergeometric Functions

被引：0

作者：

Nadarajah, Saralees ^{[1
]}

机构：

[1] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

来源：

AMERICAN STATISTICIAN | 2015年 / 69卷 / 02期

关键词：

Gauss hypergeometric function; Incomplete beta function; Laplace approximation; VARIABLE SELECTION; PRIORS; MODELS;

D O I：

10.1080/00031305.2015.1028595

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The pioneering study undertaken by Liang etal. in 2008 (Journal of the American Statistical Association, 103, 410-423) and the hundreds of papers citing that work make use of certain hypergeometric functions. Liang etal. and many others claim that the computation of the hypergeometric functions is difficult. Here, we show that the hypergeometric functions can in fact be reduced to simpler functions that can often be computed using a pocket calculator.

引用

页码：146 / 148

页数：3

共 50 条

[1] Numerical methods for the computation of the confluent and Gauss hypergeometric functions
John W. Pearson
Sheehan Olver
Mason A. Porter
[J]. Numerical Algorithms, 2017, 74 : 821 - 866
[2] Numerical methods for the computation of the confluent and Gauss hypergeometric functions
Pearson, John W.
Olver, Sheehan
Porter, Mason A.
[J]. NUMERICAL ALGORITHMS, 2017, 74 (03) : 821 - 866
[3] DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONS
Vidunas, Raimundas
[J]. KYUSHU JOURNAL OF MATHEMATICS, 2011, 65 (01) : 141 - 167
[4] Degenerate Gauss hypergeometric functions
Vidunas, Raimundas
[J]. KYUSHU JOURNAL OF MATHEMATICS, 2007, 61 (01) : 109 - 135
[5] Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions
Gautschi, W
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 139 (01) : 173 - 187
[6] Generating functions for the generalized Gauss hypergeometric functions
Srivastava, H. M.
Agarwal, Praveen
Jain, Shilpi
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 247 : 348 - 352
[7] Transformations of some Gauss hypergeometric functions
Vidunas, R
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 178 (1-2) : 473 - 487
[8] Extended Gauss Hypergeometric Matrix Functions
Mohamed Abdalla
A. Bakhet
[J]. Iranian Journal of Science and Technology, Transactions A: Science, 2018, 42 : 1465 - 1470
[9] Extended Gauss Hypergeometric Matrix Functions
Abdalla, Mohamed
Bakhet, A.
[J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2018, 42 (A3): : 1465 - 1470
[10] Algebraic Transformations of Gauss Hypergeometric Functions
Vidunas, Raimundas
[J]. FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2009, 52 (02): : 139 - 180

← 1 2 3 4 5 →