Derivative Polynomials and Closed-Form Higher Derivative Formulae
Classical Analysis and ODEs
2009-11-20 v1
Abstract
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.
Cite
@article{arxiv.0911.3765,
title = {Derivative Polynomials and Closed-Form Higher Derivative Formulae},
author = {Djurdje Cvijović},
journal= {arXiv preprint arXiv:0911.3765},
year = {2009}
}
Comments
7 pages