A Hypergeometric Integral with Applications to the Fundamental Solution of Laplace's Equation on Hyperspheres
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Hypergeometric Integral with Applications to the Fundamental Solution of Laplace's Equation on Hyperspheres
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| Creator |
Chapling, R.
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| Description |
We consider Poisson's equation on the n-dimensional sphere in the situation where the inhomogeneous term has zero integral. Using a number of classical and modern hypergeometric identities, we integrate this equation to produce the form of the fundamental solutions for any number of dimensions in terms of generalised hypergeometric functions, with different closed forms for even and odd-dimensional cases.
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| Date |
2019-02-16T09:13:58Z
2019-02-16T09:13:58Z 2016 |
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| Type |
Article
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| Identifier |
A Hypergeometric Integral with Applications to the Fundamental Solution of Laplace's Equation on Hyperspheres / R. Chapling // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 16 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 35A08; 35J05; 31C12; 33C05; 33C20 DOI:10.3842/SIGMA.2016.079 http://dspace.nbuv.gov.ua/handle/123456789/147845 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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