Sharp bounds for the modulus and phase of Hankel functions with applications to Jaeger integrals

DOI10.1090/mcom/3267zbMath1376.33007OpenAlexW2592817779MaRDI QIDQ4586620

Pedro Freitas

Publication date: 30 October 2017

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

Full work available at URL: https://doi.org/10.1090/mcom/3267

zbMATH Keywords

sharp estimateRamanujan integralHankel functionsJaeger integrals

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Other functions defined by series and integrals (33E20) Inequalities for sums, series and integrals (26D15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (4)

Second type Neumann series of generalized Nicholson function ⋮ Bessel quotients and Robin eigenvalues ⋮ Point process simulation of generalised inverse Gaussian processes and estimation of the Jaeger integral ⋮ A generalized Jaeger \(\mathcal{I}(0,1;t)\) integral, resulting from mathematical modelling in electroanalytical chemistry

Uses Software

• DLMF

Cites Work

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• Bounds for Jaeger integrals
• On approximations to a class of Jaeger integrals
• On Differential Equations and the Function $J_\{mu}^2 + Y_\{mu}^2$
• The asymptotic behaviour of Ramanujan's integral and its application to two-dimensional diffusion-like equations
• Nicholson’s integral for 𝐽_{𝑛}²(𝑧)+𝑌_{𝑛}²(𝑧)

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