Inequalities for orthonormal Laguerre polynomials

Authors:
Ilia Krasikov
Affiliations:
Department of Mathematical Sciences, Brunel University, Uxbridge UB8 3PH, UK
Venue:
Journal of Approximation Theory
Year:
2007

Citing 6
Cited 2

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Abstract

Let M"k^@a(x)=L"k^(^@a^)(x)^2e^-^xx^@a^+^1, where L"k^(^@a^)(x) is the orthonormal Laguerre polynomial of degree k. For @a=24 we will establish the following inequality 10^-^8=0M"k^@a(x)=35, and the lower one for k=2x10^1^0. Sharp pointwise estimates on M"k^@a and related functions for x=0 are also given.