For quaternionic-differentiable functions of the space variable, we prove the theorem on the integral over a closed surface which is an analog of the Cauchy theorem from complex analysis.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 4, pp. 459–465, April, 2011.
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Herus, O.F. On hyperholomorphic functions of the space variable. Ukr Math J 63, 530–537 (2011). https://doi.org/10.1007/s11253-011-0521-0
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DOI: https://doi.org/10.1007/s11253-011-0521-0