On one representation of analytic functions by harmonic functions

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