A determinantal approach to Appell polynomials

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摘要

A new definition by means of a determinantal form for Appell (1880) [1] polynomials is given. General properties, some of them new, are proved by using elementary linear algebra tools. Finally classic and non-classic examples are considered and the coefficients, calculated by an ad hoc Mathematica code, for particular sequences of Appell polynomials are given.

论文关键词：11B83,65F40,Determinant,Polynomial,Appell

论文评审过程：Received 3 July 2008, Revised 15 January 2009, Available online 2 March 2010.

论文官网地址：https://doi.org/10.1016/j.cam.2010.02.033