ON h-HOLOMORPHY AND h-ANALYTICITY OF FUNCTIONS OF AN h-COMPLEX VARIABLE
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Keywords:
h-differentiability, h-holomorphy, h-analyticity, Ring of h-complex numbers, Zero divisors, Zeros of a functionAbstract
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 THE 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
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