# 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:

- 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}

}

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