CLASSES OF TAYLOR–MACLOURIN TYPE FORMULAE IN COMPLEX DOMAIN

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Submitted: 2025-02-22; Published: 2025-02-22

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Abstract

In the present paper some systems of operators generated by Riemann–Liouville integral and derivative of orders α∈(0,1), and functions generated by Mittag–Leffler type functions are introduced. Some properties of these systems are investigated and for a certain class of functions the generalizations of Taylor–Maclourin type formulae are obtained.