H. Alkahby, G. Ansong, P. Frempong-Mireku, & A. Jalbout
Abstract:
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.
Published July 20, 2001.
Subject lassfications: 26B30.
Key words: Appell polynomials, generating function, bounded variation.
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| H. Alkahby Department of Mathematics, Dillard University New Orleans, LA 70122, USA e-mail: halkahby@aol.com | |
| G. Ansong Department of Accounting, St. Mary's University Canada, B3K 3C3, CA e-mail: granville.ansong@stmarys.ca | |
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Peter Frempong-Mireku Department of Mathematics, Dillard University New Orleans, LA 70122, USA e-mail: pfmireku@dillard.edu |
| A. Jalbout Department of Chemistry, University of New Orleans New Orleans, LA 70148, USA |
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