Upper bounds for the first zeros of Bessel functions (Q1821491)
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scientific article; zbMATH DE number 3999114
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Upper bounds for the first zeros of Bessel functions |
scientific article; zbMATH DE number 3999114 |
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Upper bounds for the first zeros of Bessel functions (English)
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1987
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Upper bounds for the first positive zero of the Bessel functions of first kind \(J_{\mu}(z)\) for \(\mu >-1\) are obtained. Ritz's approximation method, applied to the eigenvalue problem of a compactself adjoint operator, defined on an abstract separable Hilbert space is used to establish the results.
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Ritz's method
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positive zero of the Bessel functions of first kind
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eigenvalue problem
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compactself adjoint operator
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Hilbert space
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