Generalized regular monotony of Mittag-Leffler type quasi-full functions

Several fundamental quasifull functions, presented as analogues of the model function and the Winter function and later, the quasifull analogue of Mittag-Leffler function as well, have been considered in the paper. The aim of the paper is to clear up the question, whether Mittag-Leffler type function $Е(x, \gamma, \mu, \mu \prime$ is generally regular monotonous $R_{\gamma}(0,\infty)$ in the sense of generalized derivatives introduced by G.V. Badaiian.