• On a family of Euler-type numb...

Treffer: On a family of Euler-type numbers and polynomials

Title:
On a family of Euler-type numbers and polynomials
Authors:
Claudio Pita-Ruiz
Source:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 44, Iss 1-2, Pp 1-26 (2023)
Publisher Information:
Università degli Studi di Roma ``La Sapienza'', Dipartimento di Matematica, Rome; Istituto Nazionale di Alta Matematica Francesco Severi, Rome, 2023.
Publication Year:
2023
Subject Terms:
Euler number, Euler polynomial, euler polynomial, QA1-939, Bell and Stirling numbers, euler number, generalized stirling number, Bernoulli and Euler numbers and polynomials, generalized Stirling number, Mathematics
Document Type:
Fachzeitschrift Article
File Description:
application/xml
ISSN:
1120-7183
Access URL:
https://zbmath.org/7688337
https://doaj.org/article/d3c2f7027a664e15bc8defc7c6092c5e
Accession Number:
edsair.dedup.wf.002..1490290ee39c9d6e3d13faae20351355
Database:
OpenAIRE

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Summary: We consider a family of Euler-type polynomials, depending on a real parameter \(\alpha \neq 0, 1\). The case \(\alpha = 2\) corresponds to standard Euler polynomials. We show some properties of these polynomials, and show also two generalized recurrences. As consequences of these results, we obtain several explicit formulas for Euler numbers and polynomials.