Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (7): 663-668.

• 论文 • 上一篇    下一篇

THE ORTHOGONAL POLYNOMIALS AND THE PADE’APPROXIMATION

Faiz Ahmad   

  1. Department of Mathemahcs, Quaid-Azam University, Islamabad, Pakistan
  • 收稿日期:1997-02-01 出版日期:1998-07-18 发布日期:1998-07-18
  • 通讯作者: Chien Weizang, Ding Xicping

THE ORTHOGONAL POLYNOMIALS AND THE PADE’APPROXIMATION

Faiz Ahmad   

  1. Department of Mathemahcs, Quaid-Azam University, Islamabad, Pakistan
  • Received:1997-02-01 Online:1998-07-18 Published:1998-07-18

摘要: The diagonal Pade’ approximates for exp(x). tanx and tanhx are obtained in a simple manner by using the property of Legendre polynomials that on [-1, 1] Pn(x) is orthogonal to every polynomial of lower degree. Gauss’s quadrature formula is used tofined the denomiators of some functions.

Abstract: The diagonal Pade’ approximates for exp(x). tanx and tanhx are obtained in a simple manner by using the property of Legendre polynomials that on [-1, 1] Pn(x) is orthogonal to every polynomial of lower degree. Gauss’s quadrature formula is used tofined the denomiators of some functions.

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