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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Auteur principal:	P. A. Robinson
Format:	article
Langue:	EN
Publié:	The Royal Society 2021
Sujets:	integrals series neural field theory Bessel functions Green function haemodynamic response function Science Q
Accès en ligne:	https://doaj.org/article/ca67a27ab7854b11b80b59ff3376638c
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id	oai:doaj.org-article:ca67a27ab7854b11b80b59ff3376638c
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spelling	oai:doaj.org-article:ca67a27ab7854b11b80b59ff3376638c2021-12-01T08:05:34ZIntegrals and series related to propagators of neural and haemodynamic waves10.1098/rsos.2115622054-5703https://doaj.org/article/ca67a27ab7854b11b80b59ff3376638c2021-12-01T00:00:00Zhttps://royalsocietypublishing.org/doi/10.1098/rsos.211562https://doaj.org/toc/2054-5703The 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.P. A. RobinsonThe Royal Societyarticleintegralsseriesneural field theoryBessel functionsGreen functionhaemodynamic response functionScienceQENRoyal Society Open Science, Vol 8, Iss 12 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	integrals series neural field theory Bessel functions Green function haemodynamic response function Science Q
spellingShingle	integrals series neural field theory Bessel functions Green function haemodynamic response function Science Q P. A. Robinson Integrals and series related to propagators of neural and haemodynamic waves
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	article
author	P. A. Robinson
author_facet	P. A. Robinson
author_sort	P. A. Robinson
title	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_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_sort	integrals and series related to propagators of neural and haemodynamic waves
publisher	The Royal Society
publishDate	2021
url	https://doaj.org/article/ca67a27ab7854b11b80b59ff3376638c
work_keys_str_mv	AT parobinson integralsandseriesrelatedtopropagatorsofneuralandhaemodynamicwaves
_version_	1718405443228794880

Integrals and series related to propagators of neural and haemodynamic waves

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