Natural Sciences, Mathematics, 2026
CLASSES OF TAYLOR–MACLOURIN TYPE FORMULAE IN COMPLEX DOMAIN
This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution,
and reproduction in any medium, provided the original work is properly cited.
Submitted: 2025-02-22
© 2026 by author(s) and The Gufo Inc.
This work is licensed under Creative Commons Attribution–NonCommercial International License
(CC BY-NC 4.0).
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.