Stirling Numbers Associated with Sequences of Polynomials

DOI10.30546/1683-6154.22.1.2023.80arXiv2202.11306OpenAlexW4322580816MaRDI QIDQ6068406

Taekyun Kim, Dae San Kim

Publication date: 15 December 2023

Published in: Applied and Computational Mathematics (Search for Journal in Brave)

Abstract: Let P be the set of the sequence of polynomials of degree n. The aim of this paper is to study the Stirling numbers of the second kind associated with P and of the first kind associated with P, in a unified and systematic way with the help of umbral calculus technique. Our results are illustrated with many examples which give rise to interesting inverse relations in each case.

Full work available at URL: https://arxiv.org/abs/2202.11306

zbMATH Keywords

Stirling numbersumbral calculusEulerian polynomialsfirst kind associated with sequence of polynomialssecond kind associated with sequence of polynomials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Special sequences and polynomials (11B83)

Related Items (4)

Title not available (Why is that?) ⋮ Factorial Stirling matrix and related combinatorial sequences ⋮ A POLYNOMIAL ANALOGUE TO THE STERN SEQUENCE ⋮ Numbers associated with Stirling numbers and \(X^ x\)

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