@article{ajma2017514,
author={Parfenov, Michael},
title={On Properties of Holomorphic Functions in Quaternionic Analysis},
journal={American Journal of Mathematical Analysis},
volume={5},
number={1},
pages={17--24},
year={2017},
url={http://pubs.sciepub.com/ajma/5/1/4},
issn={2333-8431},
abstract={We draw the conclusions from the earlier presented quaternionic generalization of Cauchy-Riemann¡¯s equations. The general expressions for constituents of <img src=image/abs1.png></img>-holomorphic functions as well as the relations between them are deduced. The symmetry properties of constituents of <img src=image/abs2.png></img>-holomorphic functions and their derivatives of all orders are proved. For full derivatives it is a consequence of uniting the left and right derivatives within the framework of the developed theory. Some <img src=image/abs3.png></img>-holomorphic generalizations of <img src=image/abs4.png></img>?- holomorphic functions are discussed in detail to demonstrate particularities of constructing H-holomorphic functions. The power functions are considered in detail.},
doi={10.12691/ajma-5-1-4}
publisher={Science and Education Publishing}
}