论文标题
一类稀疏多项式的某些特性
Some Properties of a Class of Sparse Polynomials
论文作者
论文摘要
我们研究具有二项系数的稀疏多项式序列，既是指数又是系数。这概括了一系列稀疏多项式的序列，该序列以自然方式作为图理论多项式。得出一些基本身份之后，我们获得了有关单调性和对数coven的属性，以及涉及衍生物的身份。我们还证明了这些多项式零的模量上的上限和下限。
We study an infinite class of sequences of sparse polynomials that have binomial coefficients both as exponents and as coefficients. This generalizes a sequence of sparse polynomials which arises in a natural way as graph theoretic polynomials. After deriving some basic identities, we obtain properties concerning monotonicity and log-concavity, as well as identities involving derivatives. We also prove upper and lower bounds on the moduli of the zeros of these polynomials.
