Some monotonicity results on the zeros of the generalized Laguerre polynomials

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摘要

Some monotonicity results for the function f(α)xn,k(α), where xn,k(α) is the kth zero of generalized Laguerre polynomial Ln(α)(x) and f(α) is a suitable function of α, are derived by means of the classical method of Stiltjes.

论文关键词:33C45,Orthogonal polynomials,Inequalities

论文评审过程:Received 14 March 2002, Available online 24 December 2002.

论文官网地址:https://doi.org/10.1016/S0377-0427(02)00588-5