Bessel quotients and Robin eigenvalues

DOI10.2140/pjm.2021.315.75zbMath1495.33003OpenAlexW4200563726MaRDI QIDQ2062015

Yanyan Li

Publication date: 22 December 2021

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2021.315.75

zbMATH Keywords

eigenvaluesBessel functionsMittag-Leffler expansion

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

• Inequalities involving Bessel and modified Bessel functions
• Sharpening the Becker-Stark inequalities
• On the zeros of \(aC_ \nu{}(x)+xC_ \nu'{}(x)\) where \(C_ \nu{}(x)\) is a cylinder function
• Ratios of Bessel functions and roots of \(\alpha J_v(x)+xJ_v'(x)=0\)
• New eigenvalue estimates involving Bessel functions
• Bounds and extremal domains for Robin eigenvalues with negative boundary parameter
• A Faber-Krahn inequality for Robin problems in any space dimension
• “Best possible” upper and lower bounds for the zeros of the Bessel function 𝐽_{𝜈}(𝑥)
• Computation of Modified Bessel Functions and Their Ratios
• Sharp bounds for the modulus and phase of Hankel functions with applications to Jaeger integrals
• 4 The Robin problem
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