The Nevanlinna parametrization for some indeterminate Stieltjes moment problems associated with birth and death processes

The Nevanlinna parametrization for some indeterminate Stieltjes moment problems associated with birth and death processes
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与出生和死亡过程相关的一些不确定 Stieltjes 矩问题的 Nevanlinna 参数化

DOI:
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发表时间:
1994
期刊:
影响因子:
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通讯作者:
G. Valent
G. Valent
中科院分区:
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文献类型:
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作者:
C. Berg;G. Valent

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我们考虑了两个不确定矩问题:一个对应于具有四次速率的生灭过程,另一个对应于Al-Salam-Carlitz q-多项式。利用Darboux方法,我们计算了它们的Nevanlinna矩阵和几族正交性测度。
We consider two indeterminate moment problems: One corresponding to a birth and death process with quartic rates and the other corresponding to the Al-Salam-Carlitz q-polynomials. Using the Darboux method, we calculate their Nevanlinna matrices and several families of orthogonality measures.