|
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
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
Citation:
Fabrizio Colombo, J. Oscar González-Cervantes, Irene Sabadini, “Some integral representations of slice hyperholomorphic functions”, Mosc. Math. J., 14:3 (2014), 473–489
Linking options:
https://www.mathnet.ru/eng/mmj529 https://www.mathnet.ru/eng/mmj/v14/i3/p473
|
Statistics & downloads: |
Abstract page: | 362 | References: | 71 |
|