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<p>In this article, totally positive Riordan arrays are studied. Some Riordan arrays that were already known to be totally positive but given in terms of <i>A</i>- and <i>Z</i>-sequence are presented in an explicit form. Some of them are connected to Narayana polynomials. With use of these matrices and properties of total positivity, some other totally positive Riordan arrays are found.</p>

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Some (not that) new examples of totally positive Riordan arrays

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月4日

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  • Roksana Słowik

摘要

In this article, totally positive Riordan arrays are studied. Some Riordan arrays that were already known to be totally positive but given in terms of A- and Z-sequence are presented in an explicit form. Some of them are connected to Narayana polynomials. With use of these matrices and properties of total positivity, some other totally positive Riordan arrays are found.