Uniform Bounds for Bessel Functions
Copyright policy ) Krasikov, I.;
Uniform Bounds for Bessel Functions
Summary: For \(\nu>-1/2\) and \(x\) real we shall establish explicit bounds for the Bessel function \(J_\nu(x)\) which are uniform in \(x\) and \(\nu\). This work and the recent result of \textit{L. J. Landau} [J. Lond. Math. Soc. (2) 61, No. 1, 197--215 (2000; Zbl 0948.33001)] provide relatively sharp inequalities for all real \(x\).
Bessel and Airy functions, cylinder functions, \({}_0F_1\)
Bessel and Airy functions, cylinder functions, \({}_0F_1\)
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selected citations
Citations provided by BIP!
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 41
Top 10%
Top 10%
Top 10%
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