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INTEGRAL REPRESENTATIONS OF SUBCLASSES OF THE STAR FUNCTIONS OF MANY COMPLEX VARIABLES

In this paper, we present a method of integral representations of subclasses of the class of star functions of many complex variables, consisting in the fact that for the subclass of functions defined by a certain set of properties, an integral formula is derived, which gives the criterion of belonging of this function to this subclass. Very often, structural formulas are given by operators in the form of integral representations that convert one class of functions to another. Here are some examples of new subclasses of the class of star functions for which integral representations are constructed.