ESTIMATES OF ASYMMETRIC FREUD POLYNOMIALS ON THE REAL LINE

被引:44
作者
BAULDRY, WC
机构
[1] Department of Mathematical Sciences, Appalachian State University, Boone
关键词
D O I
10.1016/0021-9045(90)90105-Y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We find bounds for the polynomials pn(x) orthogonal with respect to asymmetric Freud weights of the form w(x) = exp(-Q(x)), where Q is an even degree polynomial with positive leading coefficient, by utilizing asymptotics for the recursion coefficients an and bn and an approximate differential equation satisfied by pn(x). © 1990.
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页码:225 / 237
页数:13
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