Monotonicity results on the zeros of generalized Laguerre polynomials
نویسندگان
چکیده
منابع مشابه
Some monotonicity results on the zeros of the generalized Laguerre polynomials
Some monotonicity results for the function f( )x ) n;k , where x ( ) n;k is the kth zero of generalized Laguerre polynomial L ) n (x) and f( ) is a suitable function of , are derived by means of the classical method of Stiltjes. c © 2002 Published by Elsevier Science B.V.
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Article history: Received 15 December 2008 Available online 3 March 2010 Submitted by D. Waterman
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belong to one of the three family of orthogonal polynomials, the other two being Jacobi and Legendre. In addition to their important roles in mathematical analysis, these polynomials also feature prominently in algebra and number theory. Schur ([7], [8]) pioneered the study of Galois properties of specializations of these orthogonal polynomials, and Feit [1] used them to solve the inverse Galoi...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1987
ISSN: 0021-9045
DOI: 10.1016/0021-9045(87)90031-1