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In this paper the Mittag-Leffler function is given through the exponentialfunctions for any rational derivatives of m/n order, where m<n, n>1 are naturalirreducible numbers (if n=1 then m is also equal to unity). Unlike the previouspapers the given formulas do not contain integrals.

Representation of the Mittag-Leffler function through the exponential functions in the case of rational derivatives