Electronic Journal of Differential Equations,
Conference 07 (2001), pp. 1-13.
Title: Symbolic computation of Appell polynomials using Maple.
Authors: H. Alkahby (Dillard Univ., New Orleans, LA USA)
G. Ansong (St. Mary's Univ., Canada)
P. Frempong-Mireku (Dillard Univ., New Orleans, LA USA)
A. Jalbout (Univ. of New Orleans, LA, USA)
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.
Math Subject Classifications: 26B30.
Key Words: Appell polynomials; generating function; bounded variation.