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On one representation of analytic functions by harmonic functions

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dc.contributor.author Karachik V.V. en
dc.date.accessioned 2018-10-16T06:53:55Z
dc.date.available 2018-10-16T06:53:55Z
dc.date.issued 2008
dc.identifier.issn 10551344
dc.identifier.uri http://dspace.susu.ru/handle/0001.74/20662
dc.description.abstract Let u(x) be a function analytic in some neighborhood D about the origin, D ⊂ ℝn. We study the representation of this function in the form of a series u(x) = u0(x) + x 2 u1(x) + x 4 u2(x) + x , where uk(x) are functions harmonic in D. This representation is a generalization of the well-known Almansi formula. © Allerton Press, Inc. 2008. en]
dc.language.iso English
dc.relation.ispartof Siberian Advances in Mathematics en]
dc.title On one representation of analytic functions by harmonic functions en
dc.type Article en]
dc.identifier.doi 10.3103/S1055134408020041
dc.identifier.scopus https://www.scopus.com/inward/record.uri?eid=2-s2.0-44849121297&doi=10.3103%2fS1055134408020041&partnerID=40&md5=443f565987a3af4d4218e5fa30e228f4

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