论文标题
切线和割线的导数多项式复发
Recurrences for the derivative polynomials for tangent and secant
论文作者
论文摘要
在本文中，我们选择切线和割线的导数多项式作为多项式空间的基础集。从这个角度来看，我们首先根据secant的导数多项式给出了切线的衍生式多项式的扩展，然后我们呈现了反向方向的结果。我们还讨论了交替的衍生多项式和欧拉尔式多项式之间的关系。作为应用，我们给出了交替的衍生多项式的一定膨胀，这表明交替的衍生衍生型多项式与Chebyshev多项式共享更多的性质。
In this paper, we choose the derivative polynomials for tangent and secant as basis sets of polynomial space. From this viewpoint, we first give an expansion of the derivative polynomials for tangent in terms of the derivative polynomials for secant, and we then present a result in the reverse direction. We also discuss the relationships between alternating derivative polynomials and Eulerian polynomials. As applications, we give certain expansions of the alternating derivative polynomials, which indicate that the alternating derivative polynomials share more properties with the Chebyshev polynomials.
