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Moscow Mathematical Journal, 2014, Volume 14, Number 3, Pages 473–489
DOI: https://doi.org/10.17323/1609-4514-2014-14-3-473-489 (Mi mmj529) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Some integral representations of slice hyperholomorphic functions

Fabrizio Colomboa, J. Oscar González-Cervantesb, Irene Sabadinia

a Politecnico di Milano, Dipartimento di Matematica, Via E. Bonardi, 9, 20133 Milano, Italy
b Departamento de Matemáticas, E.S.F.M. del I.P.N. 07338, México D.F., México
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DOI: https://doi.org/10.17323/1609-4514-2014-14-3-473-489
Abstract: In this paper we prove the analog of the Schwarz integral formula as well as other integral representations for slice monogenic functions. The key tool to establish these formulas is a suitable decomposition of slice monogenic functions. All the results that are stated in the case of slice monogenic functions hold also for slice regular functions of a quaternionic variable.
Key words and phrases: slice monogenic functions, Schwarz integral formula, Harnack inequalities.
Received: May 8, 2012; in revised form February 10, 2014
Bibliographic databases:
Document Type: Article
MSC: 30G35
Language: English
Citation: Fabrizio Colombo, J. Oscar González-Cervantes, Irene Sabadini, “Some integral representations of slice hyperholomorphic functions”, Mosc. Math. J., 14:3 (2014), 473–489
Citation in format AMSBIB
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\by Fabrizio~Colombo, J.~Oscar~Gonz\'alez-Cervantes, Irene~Sabadini
\paper Some integral representations of slice hyperholomorphic functions
\jour Mosc. Math.~J.
\yr 2014
\vol 14
\issue 3
\pages 473--489
\mathnet{http://mi.mathnet.ru/mmj529}
\crossref{https://doi.org/10.17323/1609-4514-2014-14-3-473-489}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3241756}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000342789400002}
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    • This publication is cited in the following 5 articles:
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