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Closed-form formulae for the derivatives of trigonometric functions at rational multiples of

✍ Scribed by Djurdje Cvijović

Book ID
104000596
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
318 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this sequel to our recent note [D. Cvijović, Values of the derivatives of the cotangent at rational multiples of π, Appl. Math. Lett.

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a b s t r a c t By elementary arguments, we deduce closed-form expressions for the values of all derivatives of the cotangent function at rational multiples of π. These formulae are considerably simpler than similar ones which were found in a different manner by Kölbig. Also, we show that the values