Turán determinants of Bessel functions
نویسندگان
چکیده
منابع مشابه
Bounds on Turán determinants
Let μ denote a symmetric probability measure on [−1, 1] and let (pn) be the corresponding orthogonal polynomials normalized such that pn(1) = 1. We prove that the normalized Turán determinant ∆n(x)/(1−x), where ∆n = pn−pn−1pn+1, is a Turán determinant of order n− 1 for orthogonal polynomials with respect to (1− x2)dμ(x). We use this to prove lower and upper bounds for the normalized Turán deter...
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ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 2014
ISSN: 0933-7741,1435-5337
DOI: 10.1515/form.2011.160