36 citations · 67 across the 6 of their papers we have counts for
9 papers
On a generalization of Watson's trigonometric sum (on Dowker's sum of order one half)
Iaroslav V. Blagouchine
In this paper we study the finite trigonometric sum , where are equal to and where the summation index and the discrete parame…
On a finite sum of cosecants appearing in various problems
Iaroslav V. Blagouchine, Eric Moreau
In this paper we investigate the finite sum of cosecants where the index runs through 1 to and and are arbitrary parameters, as well…
A complement to a recent paper on some infinite sums with the zeta values
Iaroslav V. Blagouchine
Recently, several new results related to the evaluation of the series sum (-1)^n zeta(n)/(n+k) were published. In this short note we show that this series also possesses an interes…
A note on some constants related to the zeta-function and their relationship with the Gregory coefficients
Iaroslav V. Blagouchine, Marc-Antoine Coppo
In this paper new series for the first and second Stieltjes constants (also known as generalized Euler's constant), as well as for some closely related constants are obtained. Thes…
A Note on Some Recent Results for the Bernoulli Numbers of the Second Kind
Iaroslav V. Blagouchine
In a recent issue of the Bulletin of the Korean Mathematical Society, Qi and Zhang discovered an interesting integral representation for the Bernoulli numbers of the second kind (a…
Three notes on Ser's and Hasse's representations for the zeta-functions
Iaroslav V. Blagouchine
This paper is devoted to Ser's and Hasse's series representations for the zeta-functions, as well as to several closely related results. The notes concerning Ser's and Hasse's repr…
Expansions of generalized Euler's constants into the series of polynomials in and into the formal enveloping series with rational coefficients only
Iaroslav V. Blagouchine
In this work, two new series expansions for generalized Euler's constants (Stieltjes constants) are obtained. The first expansion involves Stirling numbers of the first kind,…
Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to
Iaroslav V. Blagouchine
In this paper, two new series for the logarithm of the -function are presented and studied. Their polygamma analogs are also obtained and discussed. These series involve the Sti…
A theorem for the closed-form evaluation of the first generalized Stieltjes constant at rational arguments and some related summations
Iaroslav V. Blagouchine
Recently, it was conjectured that the first generalized Stieltjes constant at rational argument may be always expressed by means of Euler's constant, the first Stieltjes constant,…