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Computation of Sums of Natural Powers of the Inverses of Roots of an Equation Connected with a Spectral Problem

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dc.contributor.authorKostin, A. B.
dc.contributor.authorSherstyukov, V. B.
dc.contributor.authorКостин, Андрей Борисович
dc.date.accessioned2024-11-25T15:14:50Z
dc.date.available2024-11-25T15:14:50Z
dc.date.issued2020
dc.description.abstract© 2019, Springer Science+Business Media, LLC, part of Springer Nature.We consider equations arising in the oblique derivative spectral problem of the formazJv′(z)+bJv(z)=0,z∈ℂ, where ν, a, b ∈ ℂ are parameters such that |a|+|b| > 0 and Jν(z) is the Bessel function. For roots of the equation we prove summation relations. The results obtained agree with the theory of Rayleigh sums which are calculated in terms of zeros of the Bessel functions.
dc.identifier.citationKostin, A. B. Computation of Sums of Natural Powers of the Inverses of Roots of an Equation Connected with a Spectral Problem / Kostin, A.B., Sherstyukov, V.B. // Journal of Mathematical Sciences (United States). - 2020. - 10.1007/s10958-019-04637-8
dc.identifier.doi10.1007/s10958-019-04637-8
dc.identifier.urihttps://www.doi.org/10.1007/s10958-019-04637-8
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85076907695&origin=resultslist
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/20105
dc.relation.ispartofJournal of Mathematical Sciences (United States)
dc.titleComputation of Sums of Natural Powers of the Inverses of Roots of an Equation Connected with a Spectral Problem
dc.typeArticle
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery3070740c-c832-420c-a070-a880195523bc
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relation.isOrgUnitOfPublication.latestForDiscoveryd19559ab-04cd-486a-ae8e-f40ccd36a1a6
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