Derivative Polynomials and Closed-Form Higher Derivative Formulae

Details Derivative Polynomials and Closed-Form Higher Derivative Formulae Derivative Polynomials and Closed-Form Higher Derivative Formulae

2009-11-19

arxiv.org/abs/0911.3765v1

Appl. Math. Comput. 215 (2009) 3002--3006

Mathematics

Classical Analysis and ODEs

7 pages

Scientific paper

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.

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