Functions and Analysis


Abscissa and Weights for Gaussian Quadratures of Modified Bessel Functions Integrated from Zero to Infinity

Authors: Richard J. Mathar

We tabulate the abscissae and associated weights for numerical integration of integrals with kernels which contain a power of x and Modified Bessel Functions K_nu(x). The first family of integrals contains the factor x^m K_nu(x) with integer indices nu=0 or 1 and integer powers nu <= m <= 3. The second family of integrals contains the factor x^m K_nu(x)K_nu'(x) with integer indices 0 <= nu, nu' <= 1 and integer powers nu+nu' <= m <= 3.

Comments: Few text; the majority of pages show pairs of abscissae and weights.

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Submission history

[v1] 2015-11-10 07:45:51

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