Zeros distribution and interlacing property for certain polynomial sequences
In this article, we first prove that the Hankel determinant of order three of the polynomial sequence {Pn(x)=∑k≥0P(n,k)xk}n≥0{\left\{{P}_{n}\left(x)={\sum }_{k\ge 0}P\left(n,k){x}^{k}\right\}}_{n\ge 0} is weakly (Hurwitz) stable, where P(n,k)P\left(n,k) satisfies the recurrence relation P(n,k)=(a1n+...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2024-11-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2024-0085 |
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