IJPAM: Volume 49, No. 2 (2008)

AN ORTHOGONAL TYPE FORMULA JACOBI POLYNOMIALS
AND COMPUTATION OF RELATED SPECIAL FUNCTIONS

Salman H. Abbas$^1$, Isa A. Al Khayat$^2$
$^{1,2}$Department of Mathematics
College of Science
University of Bahrain
P.O. Box 32038, BAHRAIN


Abstract.The most commonly used methods for computing special functions are those based on polynomials, rational approximation, or series expansions. When there exist recurrence relations, the higher order functions are usually calculated using a recursion method. In this paper, a new orthogonal type formula for the Jacobi polynomials is given with elementary multiplier functions used for computation of special functions $f(x,a,b)$.

Received: October 1, 2008

AMS Subject Classification: 33C25, 65D20

Key Words and Phrases: Jacobi polynomials, orthogonal type formula, Saalschtz's Theorem, tridiagonal systems

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 49
Issue: 2