Evaluating infinite integrals involving Bessel functions of arbitrary order (Q1917917)
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scientific article; zbMATH DE number 903550
| Language | Label | Description | Also known as |
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| English | Evaluating infinite integrals involving Bessel functions of arbitrary order |
scientific article; zbMATH DE number 903550 |
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Evaluating infinite integrals involving Bessel functions of arbitrary order (English)
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20 February 1997
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The paper considers integrals of the form \(\int^\infty_0 f(x)J_n(x)dx\) for any nonnegative value of the order \(n\). Several summation methods for oscillating series in connection with this kind of integrals are discussed, and a technique for calculating zeros of Bessel functions is outlined.
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integrals involving Bessel functions
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quadrature
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infinite integration
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summation methods
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oscillating series
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zeros of Bessel functions
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