Vol. 17 (2023): CNU-JHE
Articles

The SM r-Stirling Numbers: An Algebraic Approach

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  • Roberto Corcino,
  • Vernard Dechosa,
  • Romeo Coronel,
  • Vienna Mae Deveraturda

Published 23-06-2023

Keywords

  • Stirling numbers, r-Stirling numbers, generating functions, orthogonality,
  • relations,recursive formula, explicit formula, Schlömilch formula

Abstract

The SM r-Stirling numbers by Broder were initially defined through their combinatorial interpretation, and all essential properties and identities were obtained using a combinatorial approach. This paper introduces a slightly modified version of the -Stirling numbers through their exponential generating functions and derives all necessary properties and identities using an algebraic approach.

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