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The singularities of legendre series inCN

 

作者: Peter A. Mccoy,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1997）
卷期: Volume 34, issue 3  

页码: 231-245

 

ISSN:0278-1077

 

年代: 1997

 

DOI:10.1080/17476939708815051

 

出版商: Gordon and Breach Science Publishers

 

关键词: Multivariable Legendre series;Nehari-Gilbert theorems;function theoretic methods;AMS Primary: 35A22;AMS Primary: 35A20;AMS Primary: 33C45;Ams Secondary: 35C10;Ams Secondary:35L99;Ams Secondary:30B99

 

数据来源: Taylor

 

摘要:

ZNehari's theorem identifies the precise geometrical connection between the singularities of analytic Legendre series inCzand those of associated Taylor's series inCt. Recent generalizations consider the singularity problem for analytic series of products or triple products of Legendre polynomials. This paper completes the analysis by developing the analogous theorem for analytic series of products ofNLegendre polynomials inCz1×…×znfor N=4,5,…(Nfixed).

 

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