eng Science and Education Publishing American Journal of Mathematical Analysis 2333-8431 2017-07-24 5 1 17 24 10.12691/ajma-5-1-4 AJMA2017514 article Michael Parfenov parfenov.48@bk.ru 1 Bashkortostan Branch of Russian Academy of Engineering, Ufa, Russia We draw the conclusions from the earlier presented quaternionic generalization of Cauchy-Riemann's equations. The general expressions for constituents of -holomorphic functions as well as the relations between them are deduced. The symmetry properties of constituents of -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 -holomorphic generalizations of ?- holomorphic functions are discussed in detail to demonstrate particularities of constructing H-holomorphic functions. The power functions are considered in detail. http://pubs.sciepub.com/ajma/5/1/4/ajma-5-1-4.pdf quaternionic holomorphic functions quaternionic analysis quaternionic generalization of Cauchy-Riemann's equations functions of hypercomplex variables