Faiz Ahmad. The Orthogonal Polynomials and the Pade’ Approximation[J]. Applied Mathematics and Mechanics, 1998, 19(7): 619-623.
Citation: Faiz Ahmad. The Orthogonal Polynomials and the Pade’ Approximation[J]. Applied Mathematics and Mechanics, 1998, 19(7): 619-623.

The Orthogonal Polynomials and the Pade’ Approximation

  • Received Date: 1997-02-01
  • Publish Date: 1998-07-15
  • The diagonal Pade' approximates for exp(x).tan x and tanh x 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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  • [1]
    G.A.Baker,Jr.,Essentials of Pade' Approximants,Academic Press(1975).
    [2]
    W.B.Jones and W.J.Thron,Continued Fractions:Analytic Theory and Applications,Encyclopedia of Mathematics and its Applications Ⅱ,Addison Wesley Publ.Co.(1980).
    [3]
    E.B.Saff and R.S.Varga(Editors),Pade' and Rational Approximation,Academic Press(1977).
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