Derivative polynomials and closed-form higher derivative formulae
In a recent paper, Adamchik  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.
Keywords: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
Source:Applied Mathematics and Computation, 2009, 215, 8, 2002-3006
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