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math.CO2022
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…
math.NT2022★ 8 cited
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 .…
math.CO2022★ 1 cited
Generalizations and variants of Knuth's old sum
Arjun K. Rathie, John M. Campbell
We extend the Reed Dawson identity for Knuth's old sum with a complex parameter, and we offer two separate hypergeometric series-based proofs of this generalization, and we apply t…