2 9 Se p 20 03 About calculation of the Hankel transform using preliminary wavelet transform
نویسنده
چکیده
The purpose of this paper is to present an algorithm for evaluating Hankel transform of the null and the first kind. The result is the exact analytical representation as the series of the Bessel and Struve functions multiplied to the wavelet coefficients of the input function. Numerical evaluation of the test function with known analytical Hankel transform illustrates proposed algorithm. The Hankel transform is a very useful instrument in a wide range of physical problems which have an axial symmetry [1]. The influence of the Laplasian on a function in a cylindrical coordinates is equal to the product of the parameter of the transformation squared and the transform of the function: d 2 dr 2 +
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O ct 2 00 2 About calculation of the Hankel transform using preliminary wavelet transform
The purpose of this paper is to present an algorithm for evaluating Hankel transform of the null and the first kind. The result is the exact analytical representation as the series of the Bessel and Struve functions multiplied to the wavelet coefficients of the input function. Numerical evaluation of the test function with known analytical Hankel transform illustrates proposed algorithm. The Ha...
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The purpose of this paper is to present an algorithm for evaluating Hankel transform of the null and the first kind to the series of the Bessel function for Hankel transform of the first kind and Bessel and Struve function for Hankel transform of the null kind multiplied to the wavelet coefficients of the input function. It is both the exact analytical representation and the base for effective ...
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