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  • 标题:Hypergeometric Functions: From One Scalar Variable to Several Matrix Arguments, in Statistics and Beyond
  • 本地全文:下载
  • 作者:T. Pham-Gia ; Dinh Ngoc Thanh
  • 期刊名称:Open Journal of Statistics
  • 印刷版ISSN:2161-718X
  • 电子版ISSN:2161-7198
  • 出版年度:2016
  • 卷号:06
  • 期号:05
  • 页码:951-994
  • DOI:10.4236/ojs.2016.65078
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:Hypergeometric functions have been increasingly present in several disciplines including Statistics, but there is much confusion on their proper uses, as well as on their existence and domain of definition. In this article, we try to clarify several points and give a general overview of the topic, going from the univariate case to the matrix case, in one and then in several arguments. We also survey some results in fields close to Statistics, where hypergeometric functions are actively used, studied and developed.
  • 关键词:Hypergeometric;Zonal Polynomial;Fractional Calculus;Lie Group;Cohomology;Computation
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