Title
Exploring multivariate Padé approximants for multiple hypergeometric series
Abstract
We investigate the approximation of some hypergeometric functions of two variables, namelythe Appell functions F i , i = 1; : : : ; 4, by multivariate Pad'e approximants. Section 1 reviewsthe results that exist for the projection of the F i onto x = 0 or y = 0, namely the Gaussfunction 2 F 1 (a; b; c; z), since a great deal is known about Pad'e approximants for this hypergeometricseries. Section 2 summarizes the definitions of both homogeneous and generalmultivariate Pad'e approximants. In ...
Year
DOI
Venue
1999
10.1023/A:1018918429917
Adv. Comput. Math.
Keywords
DocType
Volume
Padé approximation,hypergeometric functions,multivariate problems,41A21,33D70,41A63
Journal
10
Issue
ISSN
Citations 
1
1572-9044
4
PageRank 
References 
Authors
1.75
0
4
Name
Order
Citations
PageRank
Annie Cuyt116141.48
Kathy Driver241.75
Jieqing Tan313028.88
Brigitte M. Verdonk48727.05