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Integrals and series related to propagators of neural and haemodynamic waves
The propagator, or Green function, of a class of neural activity fields and of haemodynamic waves is evaluated exactly. The results enable a number of related integrals to be evaluated, along with series expansions of key results in terms of Bessel functions of the second kind. Connections to other...
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
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The Royal Society
2021
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8633804/ https://www.ncbi.nlm.nih.gov/pubmed/34966557 http://dx.doi.org/10.1098/rsos.211562 |
| _version_ | 1784608003447586816 |
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| author | Robinson, P. A. |
| author_facet | Robinson, P. A. |
| author_sort | Robinson, P. A. |
| collection | PubMed |
| description | The propagator, or Green function, of a class of neural activity fields and of haemodynamic waves is evaluated exactly. The results enable a number of related integrals to be evaluated, along with series expansions of key results in terms of Bessel functions of the second kind. Connections to other related equations are also noted. |
| format | Online Article Text |
| id | pubmed-8633804 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2021 |
| publisher | The Royal Society |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-86338042021-12-28 Integrals and series related to propagators of neural and haemodynamic waves Robinson, P. A. R Soc Open Sci Mathematics The propagator, or Green function, of a class of neural activity fields and of haemodynamic waves is evaluated exactly. The results enable a number of related integrals to be evaluated, along with series expansions of key results in terms of Bessel functions of the second kind. Connections to other related equations are also noted. The Royal Society 2021-12-01 /pmc/articles/PMC8633804/ /pubmed/34966557 http://dx.doi.org/10.1098/rsos.211562 Text en © 2021 The Authors. https://creativecommons.org/licenses/by/4.0/Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, provided the original author and source are credited. |
| spellingShingle | Mathematics Robinson, P. A. Integrals and series related to propagators of neural and haemodynamic waves |
| title | Integrals and series related to propagators of neural and haemodynamic waves |
| title_full | Integrals and series related to propagators of neural and haemodynamic waves |
| title_fullStr | Integrals and series related to propagators of neural and haemodynamic waves |
| title_full_unstemmed | Integrals and series related to propagators of neural and haemodynamic waves |
| title_short | Integrals and series related to propagators of neural and haemodynamic waves |
| title_sort | integrals and series related to propagators of neural and haemodynamic waves |
| topic | Mathematics |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8633804/ https://www.ncbi.nlm.nih.gov/pubmed/34966557 http://dx.doi.org/10.1098/rsos.211562 |
| work_keys_str_mv | AT robinsonpa integralsandseriesrelatedtopropagatorsofneuralandhaemodynamicwaves |