Differential equation of Appell polynomials via the factorization method

Let { P n ( x)} ∞ n=0 be a sequence of polynomials of degree n. We define two sequences of differential operators Φ n and Ψ n satisfying the following properties: Φ n(P n(x))=P n−1(x), Ψ n(P n(x))=P n+1(x). By constructing these two operators for Appell polynomials, we determine their differential e...

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Veröffentlicht in:	Journal of computational and applied mathematics 2002-02, Vol.139 (2), p.231-237
Hauptverfasser:	He, M.X., Ricci, P.E.
Format:	Artikel
Sprache:	eng
Schlagworte:	Appell polynomials Bernoulli polynomials Differential equations Euler polynomials Exact sciences and technology Mathematical analysis Mathematics Sciences and techniques of general use Special functions
Online-Zugang:	Volltext
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