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Some relatives of the Catalan sequence
Advances in Applied Mathematics ( IF 1.0 ) Pub Date : 2020-10-01 , DOI: 10.1016/j.aam.2020.102105
Elżbieta Liszewska , Wojciech Młotkowski

We study a family of sequences $c_n(a_2,\ldots,a_r)$, where $r\ge2$ and $a_2,\ldots,a_r$ are real parameters. We find a sufficient condition for positive definiteness of the sequence $c_n(a_2,\ldots,a_r)$ and check several examples from OEIS. We also study relations of these sequences with the free and monotonic convolution.

中文翻译:

加泰罗尼亚语系的一些亲戚

我们研究了一系列序列 $c_n(a_2,\ldots,a_r)$,其中 $r\ge2$ 和 $a_2,\ldots,a_r$ 是实参数。我们找到了序列 $c_n(a_2,\ldots,a_r)$ 正定性的充分条件,并检查了来自 OEIS 的几个例子。我们还研究了这些序列与自由单调卷积的关系。
更新日期:2020-10-01
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