A Note on the Tau - Method Approximations for the BesselFunctions Y 0 ( z ) and Y 1 ( z )
نویسنده
چکیده
This paper is to complete and improve the work reported in 1, 2], using the Lanczos-method (in Coleman's version) to approximate the Bessel functions Y 0 (z) and Y 1 (z). We introduce symbolic representations of the scaled Faber polynomials on any fan-shaped section of the complex plane. These Faber polynomials are used as the perturbation terms in the-method. Numerical comparison among the power series, the Chebyshev series and the-method are conducted to show the accuracy improvement achieved by this new version of the-method. Some concluding remarks and suggestions on future research are given.
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