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Title: On the Cauchy theorem for hyperholomorphic functions of spatial variable

Abstract

We proved a theorem about the integral of quaternionic-differentiable functions of spatial variable over the closed surface. It is an analog of the Cauchy theorem from complex analysis.

Authors:
 [1]
  1. Ivan Franko Zhytomyr State University (Ukraine)
Publication Date:
OSTI Identifier:
22771562
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 229; Journal Issue: 1; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; CAUCHY PROBLEM; DIFFERENTIAL EQUATIONS; DIRAC OPERATORS; INTEGRALS; SURFACES

Citation Formats

Herus, Oleg F., E-mail: ogerus@zu.edu.ua. On the Cauchy theorem for hyperholomorphic functions of spatial variable. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3658-7.
Herus, Oleg F., E-mail: ogerus@zu.edu.ua. On the Cauchy theorem for hyperholomorphic functions of spatial variable. United States. doi:10.1007/S10958-018-3658-7.
Herus, Oleg F., E-mail: ogerus@zu.edu.ua. Thu . "On the Cauchy theorem for hyperholomorphic functions of spatial variable". United States. doi:10.1007/S10958-018-3658-7.
@article{osti_22771562,
title = {On the Cauchy theorem for hyperholomorphic functions of spatial variable},
author = {Herus, Oleg F., E-mail: ogerus@zu.edu.ua},
abstractNote = {We proved a theorem about the integral of quaternionic-differentiable functions of spatial variable over the closed surface. It is an analog of the Cauchy theorem from complex analysis.},
doi = {10.1007/S10958-018-3658-7},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 1,
volume = 229,
place = {United States},
year = {2018},
month = {2}
}