Derek Orr

activity

20162022

most citedGeneralized Log-sine integrals and Bell polynomials

11 citations · 24 across the 6 of their papers we have counts for

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math.NT2016★ 9 cited

Generalized rational zeta series for $ζ (2 n)$ and $ζ (2 n + 1)$

Derek Orr

In this paper, we find rational zeta series with $ζ (2 n)$ in terms of $ζ (2 k + 1)$ and $β (2 k)$ , the Dirichlet beta function. We then develop a certain family of generalized rational ze…

math.CA2016★ 1 cited

Approximations for Apery's constant $ζ (3)$ and rational series representations involving $ζ (2 n)$

Cezar Lupu, Derek Orr

In this note, using an idea from \cite{Amo-Carrillo-Sanchez} we derive some new series representations involving $ζ (2 n)$ and Euler numbers. Using a well-known series representation…

Generalized rational zeta series for ζ(2n) and ζ(2n+1)

Approximations for Apery's constant ζ(3) and rational series representations involving ζ(2n)

Generalized rational zeta series for $ζ (2 n)$ and $ζ (2 n + 1)$

Approximations for Apery's constant $ζ (3)$ and rational series representations involving $ζ (2 n)$