Name
Abstract | ||
|---|---|---|
Although general order multivariate Pade approximants were introduced some decades ago, very few explicit formulas for special functions have been given. We explicitly construct some general order multivariate Pade approximants to the class of so-called pseudo-multivariate functions, using the Pade approximants to their univariate versions. We also prove that the constructed approximants inherit the normality and consistency properties of their univariate relatives, which do not hold in general for multivariate Pade approximants. Examples include the multivariate forms of the exponential and the q-exponential functions [GRAPHICS] and [GRAPHICS] as well as the Appell function [GRAPHICS] and the multivariate form of the partial theta function [GRAPHICS] |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1090/S0025-5718-06-01789-3 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
multivariate Pade approximants,pseudo-multivariate functions | Normality,Truncation,Truncation error,Exponential function,Padé approximant,Multivariate statistics,Mathematical analysis,Special functions,Univariate,Mathematics | Journal |
Volume | Issue | ISSN |
75 | 254 | 0025-5718 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Annie Cuyt | 1 | 161 | 41.48 |
| Jieqing Tan | 2 | 130 | 28.88 |
| Ping Zhou | 3 | 12 | 5.72 |