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An application of hypergeometric functions to heat kernels on rectangular and hexagonal tori and a “Weltkonstante”-or-how Ramanujan split temperatures
In this work we investigate the heat kernel of the Laplace–Beltrami operator on a rectangular torus and the according temperature distribution. We compute the minimum and the maximum of the temperature on rectangular tori of fixed area by means of Gauss’ hypergeometric function [Formula: see text] a...
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
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Springer US
2020
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7801325/ https://www.ncbi.nlm.nih.gov/pubmed/33488270 http://dx.doi.org/10.1007/s11139-019-00224-2 |