The practical evaluation of multivariate approximants with branch points

Author:

Abstract

The recently defined multivariate approximants of Chisholm are con­sidered from a computational point of view. We discuss the difficulties that arise in practice and present numerical results to indicate the potential usefulness of the multivariate approximation schemes.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Reference7 articles.

1. Multivariate approximants with branch points I. Diagonal approximants

2. Multivariate approximants with branch points - II. Off-diagonal approximants

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4. Chisholm J . S. R . & Short L. 1977 Moving branch cuts in F eynm an integrals using Pad 6 approxim ants an d th eir generalisations. Proceedings of the 4th International Conference on Advanced Computing Methods in Theoretical Physics Marseilles (ed. A. Visconti).

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Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Partial differential approximants for multivariable power series. I. Definitions and faithfulness;Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences;1982-12-08

2. Generalisations of Padé approximants;Circuits, Systems, and Signal Processing;1982-09

3. Generalisations of Padé Approximants;Rational Approximation in Systems Engineering;1982

4. The evaluation of Feynman integrals in the physical region using multi-valued approximants;Journal of Physics G: Nuclear Physics;1979-02

5. Multivariate approximants with branch points - II. Off-diagonal approximants;Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences;1978-06-30

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