Curvilinear Integral Theorem for G-Monogenic Mappings in the Algebra of Complex Quaternion

Kuzmenko, Tetyana S.

doi:10.18052/www.scipress.com/IJARM.6.21

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Curvilinear Integral Theorem for G-Monogenic Mappings in the Algebra of Complex Quaternion

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Abstract:

For G-monogenic mappings taking values in the algebra of complex quaternion we prove a curvilinear analogue of the Cauchy integral theorem in the case where a curve of integration lies on the boundary of a domain of G-monogeneity.

Info:

Periodical:

International Journal of Advanced Research in Mathematics (Volume 6)

Pages:

21-25

DOI:

https://doi.org/10.18052/www.scipress.com/IJARM.6.21

Citation:

T. S. Kuzmenko, "Curvilinear Integral Theorem for G-Monogenic Mappings in the Algebra of Complex Quaternion", International Journal of Advanced Research in Mathematics, Vol. 6, pp. 21-25, 2016

Online since:

September 2016

Authors:

Tetyana S. Kuzmenko

Keywords:

Curvilinear Cauchy Integral Theorem, G-Monogenic Mapping, Quaternion Algebra

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Distribution:

Open Access

This work is licensed under a
Creative Commons Attribution 4.0 International License

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Cited By:

[1] T. Kuzmenko, V. Shpakivskyi, "Generalized integral theorems for quaternionic G-monogenic mappings", Journal of Mathematical Sciences, Vol. 224, p. 530, 2017

DOI: https://doi.org/10.1007/s10958-017-3433-1

[2] V. Shpakivskyi, T. Kuzmenko, "Quaternionic G-Monogenic Mappings in E_m", International Journal of Advanced Research in Mathematics, Vol. 12, p. 1, 2018

DOI: https://doi.org/10.18052/www.scipress.com/IJARM.12.1

[3] T. Kuzmenko, V. Shpakivskyi, Models and Theories in Social Systems, Vol. 179, p. 451, 2019

DOI: https://doi.org/10.1007/978-3-030-00084-4_25