8 citations · 8 across the 5 of their papers we have counts for
5 papers
A family of integrals related to values of the Riemann zeta function
Rahul Kumar, Paul Levrie, Jean-Christophe Pain +1
We propose a relation between values of the Riemann zeta function and a family of integrals. This results in an integral representation for , where is a positive int…
On two-term hypergeometric recursions with free lower parameters
John M. Campbell, Paul Levrie
Let be a hypergeometric function that may be expressed so that appears within initial arguments of inverted Pochhammer symbols, as in factors of the form $\frac{1}{(n)…
Series acceleration formulas obtained from experimentally discovered hypergeometric recursions
Paul Levrie, John Campbell
In 2010, Kh. Hessami Pilehrood and T. Hessami Pilehrood introduced generating function identities used to obtain series accelerations for values of Dirichlet's function, via th…
On a problem involving the squares of odd harmonic numbers
John M. Campbell, Paul Levrie, Ce Xu +1
We introduce a full solution to a problem considered by Wang and Chu concerning series involving the squares of finite sums of the form .…
Some Continued Fractions for AND
Amrik Singh Nimbran, Paul Levrie
We present here two classes of infinite series and the associated continued fractions involving and Catalan's constant based on the work of Euler and Ramanujan. A few sundr…