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Rational approximation formulas for computing the positive zeros of \(J_ 0(x)\) - MaRDI portal

Rational approximation formulas for computing the positive zeros of \(J_ 0(x)\) (Q1919418)

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scientific article; zbMATH DE number 908363
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Rational approximation formulas for computing the positive zeros of \(J_ 0(x)\)
scientific article; zbMATH DE number 908363

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    Rational approximation formulas for computing the positive zeros of \(J_ 0(x)\) (English)
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    2 February 1998
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    Four nearly mini-max rational approximation formulae for computing the positive zeros of the Bessel function \(J_0 (x)\) are developed, with the relative errors ranging from \((2\cdot 2)\cdot 10^{-4}\) (for the first) to \((1\cdot 6)\cdot 10^{-15}\) (for the fourth).
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    mini-max rational approximation
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    positive zeros
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    Bessel function
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