Symbolic computation of Appell polynomials using Maple

This work focuses on the symbolic computation of Appell polynomials using the computer algebra system Maple. After describing the traditional approach of constructing Appell polynomials, the paper examines the operator method of constructing the same Appell polynomials. The operator approach enables...

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Bibliographic Details
Published in:Electronic Journal of Differential Equations
Main Authors: H. Alkahby, G. Ansong, P. Frempong-Mireku, A. Jalbout
Format: Article
Language:English
Published: Texas State University 2001-07-01
Subjects:
Appell polynomials
generating function
bounded variation.
Online Access:http://ejde.math.txstate.edu/conf-proc/07/a1/abstr.html
Description
Summary:This work focuses on the symbolic computation of Appell polynomials using the computer algebra system Maple. After describing the traditional approach of constructing Appell polynomials, the paper examines the operator method of constructing the same Appell polynomials. The operator approach enables us to express the Appell polynomial as Bessel function whose coefficients are Euler and Bernuolli numbers. We have also constructed algorithms using Maple to compute Appell polynomials based on the methods we have described. The achievement is the construction of Appell polynomials for any function of bounded variation.
ISSN:1072-6691

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