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4th degree algebraic hermite-pad
approximation to the exponential function
Authors:
Zheng Cheng-De ab;
Wang Ren-Hong b
| Affiliations: | a Department of Mathematics, Dalian Railway Institute, Dalian, P.R. China |
| b Institute of Mathematics Science, Dalian University of Technology, Dalian, P.R. China |
DOI:
10.1080/0020716031000148160
Publication Frequency:
15 issues per year
Published in:
International Journal of Computer Mathematics,
Volume
81,
Issue
1
January
2004
, pages 35
- 48
International Journal of Computer Mathematics,
Volume
81,
Issue
1
January
2004
, pages 35
- 48
Subjects:
Analysis - Mathematics;
Bioinformatics;
Computer Mathematics;
Discrete Mathematics;
Mathematical Finance;
Mathematical Logic;
Mathematical Numerical Analysis;
Systems & Computer Architecture;
Number of References: 7
Formats available:
PDF
(English)
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Abstract
4th Degree algebraic Hermite-Pad
 approximation to the exponential function with coefficient polynomials of degree at most m is considered. Explicit formulas and differential equations are obtained for the coefficient polynomials. An exact asymptotic expression is obtained for the error function and it is also shown that these generalized Pad-type approximations can be used to asymptotically minimize the expressions on the unit disk.*The work is supported by The National Natural Science Foundation of China (Nos 69973010 and 10271022) and The Guangdong Natural Science Foundation of Guangdong Province, China (No. 021755). |
|
Keywords:
Pad-type approximant;
Cubic Hermite-Pad approximation;
Asymptotic formula;
Differential equation
|
| view references (7) |
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