On Ward's differential calculus, Riordan matrices and Sheffer polynomials

On Ward's differential calculus, Riordan matrices and Sheffer polynomials

We extend the pattern of behavior of some special sequences of polynomials, related to the usual derivative, to a larger context described by Ward in [44]. We also get some combinatorial properties of a family of matrices obtained by means of Ward's derivatives associated to the columns of Pasc...

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Veröffentlicht in:Linear algebra and its applications 2021-02, Vol.610, p.440-473
Hauptverfasser: Luzón, Ana, Morón, Manuel A., Ramírez, José L.
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorial analysis
Differential calculus
Formal power series
Linear algebra
Polynomials
Riordan arrays
Sheffer polynomial
Ward's calculus
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Beschreibung
Zusammenfassung:We extend the pattern of behavior of some special sequences of polynomials, related to the usual derivative, to a larger context described by Ward in [44]. We also get some combinatorial properties of a family of matrices obtained by means of Ward's derivatives associated to the columns of Pascal's triangle.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2020.09.037