The Neumann Green function of the annulus
Giuseppe Mario Rago
TL;DR
This paper derives an explicit formula for the Neumann Green function in an annulus using Gegenbauer polynomials and zonal harmonic functions, aiding in solving boundary value problems.
Contribution
It provides a novel explicit representation of the Neumann Green function for the annulus, which was previously unavailable.
Findings
Explicit Green function formula derived
Applicable to boundary value problems in annuli
Enhances analytical methods for Neumann problems
Abstract
Using Gegenbauer polynomials and the zonal harmonic functions we build an explicit representation formula for the Green function with Neumann boundary conditions in the annulus.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Analytic and geometric function theory · Mathematical functions and polynomials