The Neumann Green Function of the Annulus

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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Publication Details

Journal
Analysis in Theory and Applications
Published
2026-11-09
DOI
https://doi.org/10.4208/ata.oa-2025-0065
Primary Topic
Mathematical functions and polynomials
Type
article
Field-Weighted Citation Impact
0.00
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article

The Neumann Green Function of the Annulus

Giuseppe Mario Rago
1 links
Analysis in Theory and Applications
Mathematical functions and polynomials
article

The Neumann Green Function of the Annulus

Giuseppe Mario Rago
article en

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.

Analysis in Theory and Applications
University of Bari Aldo Moro (IT)
Mathematical functions and polynomials
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