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arxiv: 1904.12737 · v1 · pith:C5PUDZKWnew · submitted 2019-04-26 · 🧮 math.CA · math.DS

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

classification 🧮 math.CA math.DS
keywords derivativesexponentialfunctionfunctionsgivenmittag-lefflerrationalcase
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In this paper the Mittag-Leffler function is given through the exponential functions for any rational derivatives of m/n order, where m<n, n>1 are natural irreducible numbers (if n=1 then m is also equal to unity). Unlike the previous papers the given formulas do not contain integrals.

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