24 citations · 34 across the 7 of their papers we have counts for
3 papers · 1 filter
Generalized Cosecant Numbers and the Hurwitz Zeta Function
Victor Kowalenko
This announcement paper summarises recent development concerning the generalized cosecant numbers , which represent the coefficients of the power series expansion for the…
An integral approach to the Gardner-Fisher and untwisted Dowker sums
Carlos M. da Fonseca, M. Lawrence Glasser, Victor Kowalenko
We present a new and elegant integral approach to computing the Gardner-Fisher trigonometric power sum, which is given by $$ S_{m,v}=\left(\frac π{2m}\right)^{2v}\sum_{k=1}^{m-1}\c…
Basic trigonometric power sums with applications
Carlos M. da Fonseca, M. Lawrence Glasser, Victor Kowalenko
We present the transformation of several sums of positive integer powers of the sine and cosine into non-trigonometric combinatorial forms. The results are applied to the derivatio…