EULER-TYPE INTEGRAL REPRESENTATIONS FOR TWO-DIMENSIONAL FUNCTIONS OF THE MITTAG-LEFFLER-TYPE

The Euler-type integral representations for two two-dimensional functions of the Mittag-Leffler type are established. In these integral representations, these two-dimensional functions are represented in terms of themselves with different parameters, in terms of known hypergeometric functions of a single variable, or via another two-dimensional function of Mittag-Leffler type. Keywords: two-dimensional functions of Mittag-Leffler type, Euler integrals, hypergeometric functions, integral representation.