Expansions in Laguerre Polynomials of Negative Order
نویسندگان
چکیده
منابع مشابه
Convergent Asymptotic Expansions of Charlier, Laguerre and Jacobi Polynomials
Convergent expansions are derived for three types of orthogonal polynomials: Charlier, Laguerre and Jacobi. The expansions have asymptotic properties for large values of the degree. The expansions are given in terms of functions that are special cases of the given polynomials. The method is based on expanding integrals in one or two points of the complex plane, these points being saddle points ...
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* Correspondence: hsun90@skku. edu Department of Mathematics Education, Sungkyunkwan University Seoul 110-745, Republic of Korea Full list of author information is available at the end of the article Abstract Let R = [0, ∞) and R : R ® R be a continuous function which is the Laguerretype exponent, and pn, r(x), ρ > − 2 be the orthonormal polynomials with the weight wr(x) = x r e. For the zeros ...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1995
ISSN: 0021-9045
DOI: 10.1006/jath.1995.1055