共查询到3条相似文献,搜索用时 1 毫秒
1.
2.
Abstract. We consider polynomials which are orthogonal with respect to weight functions, which are defined in terms of the modified
Bessel function I
ν
and which are related to the noncentral χ
2
-distribution. It turns out that it is the most convenient to use two weight functions with indices ν and ν+1 and to study orthogonality with respect to these two weights simultaneously. We show that the corresponding multiple orthogonal
polynomials of type I and type II exist and give several properties of these polynomials (differential properties, Rodrigues
formula, explicit formulas, recurrence relation, differential equation, and generating functions). 相似文献
3.
We give state space formulas for a (“central”) solution of the suboptimal Nehari problem for functions defined on the unit
disc and taking values in the space of bounded operators in separable Hilbert spaces. Instead of assuming exponential stability,
we assume a weaker stability concept (the combination of input-, output- and input-output stability), which allows us to solve
the problem for general H-infinity functions.
相似文献