A NEW CLASIFICATION ON POLYNOMIALS CONSTRUCTION

Abstract

The solution of many physical problems are obtained as expansions in series of orthogonal fungtions. A series of contruction conditions in order to solve problems from general problems until the spesific problems can be obtained from the orthogonal polinomials construction. In this article, construction of new class orthogonal polunomials is proposed. This class of polynomials is valid in the interval [-1,1] with respect to constant fractional weight fungtion, w(x) = 1 2 . The recurrence relation of the class of polynomials is presented as my hope to further discuss additional properties and full application of the class polynomials in the future article. KEYWORD : Orthogonal polynomials, Weight fungtion