IJPAM: Volume 16, No. 2 (2004)

A UNIFIED FORMULA FOR ARBITRARY ORDER
SYMBOLIC DERIVATIVES AND INTEGRALS
OF A RATIONAL POLYNOMIAL

Mhenni M. Benghorbal$^1$, Robert M. Corless$^2$
$^{1,2}$Department of Applied Mathematics
Ontario Research Centre for Computer Algebra
University of Western Ontario
London, N6A 5B9, CANADA
$^1$e-mail: mbenghor@uwo.ca
$^2$e-mail: rob.corless@uwo.ca


Abstract.We give a unified formula for computing derivatives and integrals of any order for any rational polynomial. The formula exploits the poles of the rational polynomial to compute the derivatives and integrals symbolically or numerically. The arbitrary order of differentiation is found according to the Riemann-Liouville Definition.

Received: July 9, 2004

AMS Subject Classification: 26A33

Key Words and Phrases: fractional derivatives, fractional integrals, Meijer $G$-function

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 16
Issue: 2