Series and Connections Among Central Factorial Numbers, Stirling Numbers, Inverse of Vandermonde Matrix, and Normalized Remainders of Maclaurin Series Expansions <sup>†</sup>

Series and Connections Among Central Factorial Numbers, Stirling Numbers, Inverse of Vandermonde Matrix, and Normalized Remainders of Maclaurin Series Expansions <sup>†</sup>

This paper presents an extensive investigation into several interrelated topics in mathematical analysis and number theory. The author revisits and builds upon known results regarding the Maclaurin power series expansions for a variety of functions and their normalized remainders, explores connectio...

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Bibliographic Details
Main Author: Feng Qi
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Mathematics
Subjects:
Vandermonde matrix
inverse matrix
Stirling number
Maclaurin power series expansion
normalized remainder
central factorial number
Online Access:https://www.mdpi.com/2227-7390/13/2/223
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