2 papers
math.NT2010
Double Series Involving Binomial Coefficients and the Sine Integral
John M. Campbell
By dividing hypergeometric series representations of the inverse sine by sin^-1 (x) and integrating, new double series representations of integers and constants arise. Binomial coe…
math.NT2010
A Cosine Integral Series Representation of the Euler-Mascheroni Constant
John M. Campbell
By integrating a series provided by Knopp, a series representation of the Euler-Mascheroni constant arises. The infinite sum representation of γ is determined through Fourier serie…