Peres'olkova I. Nonasymptotic results on distribution of values of the functions of Mittag-Leffler's type

Object of research: distribution of values of the functions of Mittag-Leffler's type. Goal of research: to obtain rather general nonasymptotic results on distribution of values of the functions of Mittag-Leffler's type. Methods of research: methods of entire functions theory, value distribution theory and harmonic analysis theory. New theoretical results: for the first time we determine the values of parameters such that all zeros and a-points of the functions of Mittag-Leffler's type and some its generalizations are situated in special domains; an upper estimate of modulus of logarithmic derivative of the function of Mittag-Leffler's type is obtained.