Derivative polynomials and closed-form higher derivative formulae
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| Title: | Derivative polynomials and closed-form higher derivative formulae |
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| Authors: | Cvijović, Đurđe |
| Source: | Applied Mathematics and Computation |
| Publisher Information: | 2009. |
| Publication Year: | 2009 |
| Subject Terms: | Higher (generalized) secant numbers, Secant numbers of order k, Higher (generalized) tangent numbers, Closed-form formula, Derivative formula, Derivative polynomials, Tangent numbers of order k |
| Description: | 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. |
| Document Type: | Article |
| Access URL: | https://vinar.vin.bg.ac.rs/handle/123456789/3827 |
| Accession Number: | edsair.od......4175..fb0cdf43bb5a675d1ff55136ed8a0cbf |
| Database: | OpenAIRE |
Nájsť tento článok vo Web of Science | Abstract: | 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. |
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