On the Green function to the Poisson and the Helmholtz equations on the n-dimensional unit sphere

Q: What type of study is this?

This is a Quantitative Study study.

Ilona Iglewska-Nowak

doi:10.48550/arxiv.2507.16822

July 4, 2025Open Access

On the Green function to the Poisson and the Helmholtz equations on the n-dimensional unit sphere

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Key Points

A closed form of the generalized green function is derived for the poisson and helmholtz equations.
The method demonstrates applicability across multiple dimensions of the unit sphere.
This approach streamlines calculations in theoretical and applied mathematics fields.
Understanding these equations is crucial for problems in physics and engineering.

Implication

New methodology obtains generalized green function for poisson and helmholtz equations, indicating potential advances in mathematical physics.

Abstract

A new method is presented to obtain a closed form of the generalized Green function to the Poisson and the Helmholtz equations on the n-dimensional unit sphere.

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Cite This Study

Ilona Iglewska-Nowak (2025) studied this question.

synapsesocial.com/papers/68e6494525bc5bdb98713981 https://doi.org/10.48550/arxiv.2507.16822

View Full Paper

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On the Green function to the Poisson and the Helmholtz equations on the n-dimensional unit sphere

Key Points

Implication

Abstract

Discussion

Cite This Study

On the Green function to the Poisson and the Helmholtz equations on the n-dimensional unit sphere

Key Points

Implication

Abstract

Discussion

Cite This Study

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