ON h-HOLOMORPHY AND h-ANALYTICITY OF FUNCTIONS OF AN h-COMPLEX VARIABLE
2020 ◽
Vol 133
(4)
◽
pp. 19-27
Keyword(s):
Interest in the study of the properties of functions defined on the set of \textit{h}-complex numbers arose again in connection with existing applications in geometry and mechanics. In this paper, we present necessary and sufficient conditions for \textit{h}-differentiability and \textit{h}-holomorphy of functions of an \textit{h}-complex variable, the theorem on finite increments is proved, sufficient conditions for \textit{h}-analyticity are found, a uniqueness theorem for \textit{h}-analytic functions is proved.
2006 ◽
Vol 4
(1)
◽
pp. 73-84
◽
2020 ◽
Vol 24
(2)
◽
pp. 241-251
2013 ◽
Vol 444-445
◽
pp. 621-624
1953 ◽
Vol 245
(900)
◽
pp. 429-468
◽
2019 ◽
Vol 11
(2)
◽
pp. 251-263
1991 ◽
Vol 43
(2)
◽
pp. 341-347