ON h-HOLOMORPHY AND h-ANALYTICITY OF FUNCTIONS OF AN h-COMPLEX VARIABLE


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Authors

  • V. A. Pavlovsky Belarusian State University
  • I. L. Vasiliev Belarusian State University

Keywords:

h-differentiability, h-holomorphy, h-analyticity, Ring of h-complex numbers, Zero divisors, Zeros of a function

Abstract

Interest in the study of the properties of functions defined on the set of h-complex
numbers arose again in connection with existing applications in geometry and mechanics. In this
paper, we present necessary and sufficient conditions for h-differentiability and h-holomorphy
of functions of an h-complex variable, the theorem on finite increments is proved, sufficient
conditions for h-analyticity are found, a uniqueness theorem for h-analytic functions is proved.

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Published

2020-12-30

How to Cite

В. А. Павловский, & И. Л. Васильев. (2020). ON h-HOLOMORPHY AND h-ANALYTICITY OF FUNCTIONS OF AN h-COMPLEX VARIABLE. Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, Computer Science, Mechanics Series, 133(4), 19–27. Retrieved from https://bulmathmc.enu.kz/index.php/main/article/view/81

Issue

Vol. 133 No. 4 (2020)

Section

Статьи