24 citations · 34 across the 7 of their papers we have counts for
7 papers
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…
Reply to Paris's Comments on Exactification of Stirling's Approximation for the Logarithm of the Gamma Function
Victor Kowalenko
In a recent paper [arXiv:1406.1320] Paris has made several comments concerning the author's recent work on the exactification of Stirling's approximation for the logarithm of the g…
Exactification of Stirling's Approximation for the Logarithm of the Gamma Function
Victor Kowalenko
Exactification is the process of obtaining exact values of a function from its complete asymptotic expansion. Here Stirling's approximation for the logarithm of the gamma function…
Developments from Programming the Partition Method for a Power Series Expansion
Victor Kowalenko
Recently, a novel method based on coding partitions [1]-[4] has been used to derive power series expansions to previously intractable problems. In this method the coefficients at $…
Extensions and results from a method for evaluating fractional integrals
M. Lawrence Glasser, Victor Kowalenko
We present a method derived from Laplace transform theory that enables the evaluation of fractional integrals. This method is adapted and extended in a variety of ways to demonstra…