Ratios of Bessel functions and roots of \(\alpha J_v(x)+xJ_v'(x)=0\)

DOI10.1006/jmaa.1999.6608zbMath0938.33002OpenAlexW2014902043MaRDI QIDQ1963973

Lawrence J. Landau

Publication date: 3 February 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6608

zbMATH Keywords

Bessel functions

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

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Cites Work

• Inequalities involving Bessel and modified Bessel functions
• A differential equation for the positive zeros of the function \(\alpha J_{\nu}(z)+\gamma zJ'_{\nu}(z)\)
• On the zeros of \(aC_ \nu{}(x)+xC_ \nu'{}(x)\) where \(C_ \nu{}(x)\) is a cylinder function
• A second proof of the Payne-Pólya-Weinberger conjecture
• Evaluation of complex zeros of bessel functions jν(z) and in(z) and their derivatives
• Calculation of the multiple zeros of the derivatives of the cylindrical bessel functions Jv(z) and yv(z)
• Zeros of combinations of bessel functions and their derivatives
• On the Zeros of Derivatives of Bessel Functions
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