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Authors

Publications

Values of the derivatives of the cotangent at rational multiples of pi

Cvijović, Đurđe

(2009)

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3246
AB  - By elementary arguments, we deduce closed-form expressions for the values of all derivatives of the cotangent function at rational multiples of pi. These formulae are considerably simpler than Similar ones which were found in a different manner by Kolbig. Also, we show that the values of cot((n))(pi x), n epsilon N, at x = 1/2, 1/3, 2/3, 1/4, 3/4, 1/6 and 5/6 are expressible in terms of the values of the Bernoulli polynomials alone. (C) 2008 Elsevier Ltd. All rights reserved.
T2  - Applied Mathematics Letters
T1  - Values of the derivatives of the cotangent at rational multiples of pi
VL  - 22
IS  - 2
SP  - 217
EP  - 220
DO  - 10.1016/j.aml.2008.03.013
ER  - 
@article{
author = "Cvijović, Đurđe",
year = "2009",
abstract = "By elementary arguments, we deduce closed-form expressions for the values of all derivatives of the cotangent function at rational multiples of pi. These formulae are considerably simpler than Similar ones which were found in a different manner by Kolbig. Also, we show that the values of cot((n))(pi x), n epsilon N, at x = 1/2, 1/3, 2/3, 1/4, 3/4, 1/6 and 5/6 are expressible in terms of the values of the Bernoulli polynomials alone. (C) 2008 Elsevier Ltd. All rights reserved.",
journal = "Applied Mathematics Letters",
title = "Values of the derivatives of the cotangent at rational multiples of pi",
volume = "22",
number = "2",
pages = "217-220",
doi = "10.1016/j.aml.2008.03.013"
}
Cvijović, Đ.. (2009). Values of the derivatives of the cotangent at rational multiples of pi. in Applied Mathematics Letters, 22(2), 217-220.
https://doi.org/10.1016/j.aml.2008.03.013
Cvijović Đ. Values of the derivatives of the cotangent at rational multiples of pi. in Applied Mathematics Letters. 2009;22(2):217-220.
doi:10.1016/j.aml.2008.03.013 .
Cvijović, Đurđe, "Values of the derivatives of the cotangent at rational multiples of pi" in Applied Mathematics Letters, 22, no. 2 (2009):217-220,
https://doi.org/10.1016/j.aml.2008.03.013 . .
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