Some identities connecting Stirling numbers, central factorial numbers and higher-order Bernoulli polynomials

Some identities connecting Stirling numbers, central factorial numbers and higher-order Bernoulli polynomials

By utilizing the generating function of higher-order Bernoulli polynomials, we uncover novel relationships that intertwine higher-order Bernoulli polynomials, higher-order Bernoulli numbers, Stirling numbers of the second kind, and central factorial numbers of the second kind. Leveraging these inter...

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Bibliographic Details
Main Author: Aimin Xu
Format: Article
Language:English
Published: AIMS Press 2025-02-01
Series:AIMS Mathematics
Subjects:
bernoulli polynomial
bernoulli number
series expansion
central factorial numbers of the second kind
stirling numbers of the second kind
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025148
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https://www.aimspress.com/article/doi/10.3934/math.2025148

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