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

Author

Listed:
  • Tian-Xiao He

    (Department of Mathematics, Illinois Wesleyan University, Bloomington, IL 61702, USA)

  • Emanuele Munarini

    (Dipartimento di Matematica, Politecnico di Milano, 20133 Milan, Italy)

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.

Suggested Citation

  • Tian-Xiao He & Emanuele Munarini, 2025. "Symbolic Methods Applied to a Class of Identities Involving Appell Polynomials and Stirling Numbers," Mathematics, MDPI, vol. 13(11), pages 1-27, May.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:11:p:1732-:d:1663489
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