q-Eulerian Polynomials and Polynomials with Only Real Zeros
q-Eulerian Polynomials and Polynomials with Only Real Zeros
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DOI：
10.37236/741
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发表时间：
2006-11
期刊：
影响因子：
--
通讯作者：
Shi-Mei Ma;Yi Wang
中科院分区：
文献类型：
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作者：
Shi-Mei Ma;Yi Wang
设f和F是满足f（x）=u（x）f（x）+v（x）f '（x）的两个多项式。我们刻画了f和F的真实的零点的位置和重数之间的关系，推广和统一了许多已知的结果，包括Brenti和Branden关于q-欧拉多项式的结果.
Let $f$ and $F$ be two polynomials satisfying $F(x)=u(x)f(x)+v(x)f'(x)$. We characterize the relation between the location and multiplicity of the real zeros of $f$ and $F$, which generalizes and unifies many known results, including the results of Brenti and Branden about the $q$-Eulerian polynomials.