Symbolic Methods Applied to a Class of Identities Involving Appell Polynomials and Stirling Numbers

Tian-Xiao He () and Emanuele Munarini
Additional contact information
Tian-Xiao He: Department of Mathematics, Illinois Wesleyan University, Bloomington, IL 61702, USA
Emanuele Munarini: Dipartimento di Matematica, Politecnico di Milano, 20133 Milan, Italy

Mathematics, 2025, vol. 13, issue 11, 1-27

Abstract: In this paper, we present two symbolic methods, in particular, the method starting from the source identity, umbra identity, for constructing identities of s -Appell polynomials related to Stirling numbers and binomial coefficients. We discuss some properties of s -Appell polynomial sequences related to Riordan arrays, Sheffer matrices, and their q analogs.

Keywords: Appell polynomials; Stirling numbers; harmonic numbers; q -binomial coefficients; q -Stirling numbers; Riordan-type arrays; sheffer-type matrices; symbolic method; umbral identities (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/11/1732/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/11/1732/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:11:p:1732-:d:1663489

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().