Some orthogonal polynomials

Authors:
Maitree Podisuk;Sirikul Bunditsaovapak
Affiliations:
Department of Mathematics and Computer Science, Faculty of Science, King Mongkut's Institute of Technology Chaokhuntaharn Ladkrabang, Ladkrabang, Bangkok, Thailand;Department of Mathematics and Computer Science, Faculty of Science, King Mongkut's Institute of Technology Chaokhuntaharn Ladkrabang, Ladkrabang, Bangkok, Thailand
Venue:
MATH'05 Proceedings of the 7th WSEAS International Conference on Applied Mathematics
Year:
2005

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Abstract

This paper presents to sequences of orthogonal polynomials then uses them to find the numerical definite integral and the numerical solution of the initial value problem of ordinary differential equation. These orthogonal polynomials are on the interval [0, 1] with respect to the weight functions w(x) = 1 + x2 and w(x)=1/1+x2. Some examples will be given.