A generalized Jaeger \(\mathcal{I}(0,1;t)\) integral, resulting from mathematical modelling in electroanalytical chemistry

DOI10.1016/j.cam.2022.114090zbMath1505.33002OpenAlexW4205153192MaRDI QIDQ2075985

Sean McKee, Lesław K. Bieniasz, Sleeman, Brian D.

Publication date: 16 February 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114090

zbMATH Keywords

Laplace transformBessel functionscontour integrationcomputational electrochemistrycylindrical microelectrodespotential step chronoamperometry

Mathematics Subject Classification ID

Chemistry (92E99) Integral representations of solutions to PDEs (35C15) Laplace transform (44A10) Other functions defined by series and integrals (33E20) Partial differential equations of mathematical physics and other areas of application (35Q99) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical integration (65D30)

Related Items (1)

A reaction-diffusion system arising from electrochemistry

Uses Software

• Mathematica
• DLMF
• Algorithm 368

Cites Work

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• Bounds for Jaeger integrals
• On Animal Abundance Estimation Based on Pitfall Traps
• On approximations to a class of Jaeger integrals
• Multi-precision Laplace transform inversion
• Quality assurance of Gaver’s formula for multi-precision Laplace transform inversion in real case
• Sharp bounds for the modulus and phase of Hankel functions with applications to Jaeger integrals
• Complex Zeros of the Modified Bessel Function K n (Z)

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