Abstract
In this paper, we prove new trigonometric identities, which are product-to-sum type formulas for the higher derivatives of the cotangent and cosecant functions. Furthermore, from specializations of our formulas, we derive various known and new reciprocity laws of generalized Dedekind sums.
Citation
Genki SHIBUKAWA. "New Trigonometric Identities and Reciprocity Laws of Generalized Dedekind Sums." Tokyo J. Math. 39 (2) 329 - 349, December 2016. https://doi.org/10.3836/tjm/1484903126
