Binomial sequences

Author:

Nowicki Andrzej1

Affiliation:

1. Nicolaus Copernicus University , Faculty of Mathematics and Computer Science , 87-100 Toruń Poland

Abstract

Abstract We present a description of all binomial sequences of polynomials in one variable over a field of characteristic zero.

Publisher

Walter de Gruyter GmbH

Reference27 articles.

1. [1] Aceto, Lidia and Isabel Cação. “A matrix approach to Sheffer polynomials.” J. Math. Anal. Appl. 446, no. 1 (2017): 87-100. Cited on 105.

2. [2] Berthelot, Pierre Cohomologie cristalline des schémas de caractéristique p > 0. Vol. 407 of Lecture Notes in Mathematics. Berlin-New York: Springer-Verlag, 1974. Cited on 95.

3. [3] Brand, Louis. “Binomial expansions in factorial powers.” Amer. Math. Monthly 67 (1960): 953-957. Cited on 94.

4. [4] Brown, J.W. “On zero type sets of Laguerre polynomials.” Duke Math. J. 35 (1968): 821-823. Cited on 117.

5. [5] Di Bucchianico, A. Probabilistic and analytical aspects of the umbral calculus. Vol. 119 CWI Tract. Amsterdam: Stichting Mathematisch Centrum, Centrum voor Wiskunde en Informatica, 1997. Cited on 94.

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