导数多项式与高阶导数的闭式公式
Derivative Polynomials and Closed-Form Higher Derivative Formulae
摘要：
在最近的一篇论文中，Adamchik [V.S. Adamchik，On the Hurwitz function for rational arguments，Appl.Math.Comp.187（2007）3- 12]用封闭形式表示四个函数的符号导数，这四个函数属于导数是关于相同函数的多项式的函数类。在本文中，我们对八个三角函数和双曲函数导出了包含Carlitz-Scoville高阶正切数和割线数的简单的高阶导数公式。
英文摘要：
In a recent paper, Adamchik [V.S. Adamchik, On the Hurwitz function for rational arguments, Appl. Math. Comp. 187 (2007) 3--12] expressed in a closed form symbolic derivatives of four functions belonging to the class of functions whose derivatives are polynomials in terms of the same functions. In this sequel, simple closed-form higher derivative formulae which involve the Carlitz-Scoville higher order tangent and secant numbers are derived for eight trigonometric and hyperbolic functions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
