Derivative polynomials and closed-form higher derivative formulae

被引：18

作者：

Cvijovic, Djurdje ^{[1
]}

机构：

[1] Vinca Inst Nucl Sci, Atom Phys Lab, Belgrade 11001, Serbia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 08期

关键词：

Closed-form formula; Tangent numbers of order k; Secant numbers of order k; Higher (generalized) tangent numbers; Higher (generalized) secant numbers; Derivative formula; Derivative polynomials; NUMBERS; TANGENT;

D O I：

10.1016/j.amc.2009.09.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a recent paper, Adamchik [1] 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. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：2002 / 3006

页数：5

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