Richard B. Paris

activity

20132022

most citedOn two Thomae-type transformations for hypergeometric series with integral parameter differences

8 citations · 18 across the 18 of their papers we have counts for

collaborators

Showing 2016 · math.CAShow all

2 papers · 2 filters

math.CA2016★ 3 cited

Integrals of products of Hurwitz zeta functions and the Casimir effect in $ϕ^{4}$ field theories

M. A. Shpot, M. P. Chaudhary, R. B. Paris

We evaluate two integrals over $x \in [0, 1]$ involving products of the function $ζ_{1} (a, x) \equiv ζ (a, x) - x^{- a}$ for $ℜ (a) > 1$ , where $ζ (a, x)$ is the Hurwitz zeta function. The eval…

math.CA2016★ 3 cited

Series representations of the remainders in the expansion for certain trigonometric and hyperbolic functions with applications

C. -P. Chen, R. B. Paris

In this paper, we present series representations of the remainders in the expansions for certain trigonometric and hyperbolic functions. By using the obtained results, we establish…

Integrals of products of Hurwitz zeta functions and the Casimir effect in ϕ4 field theories

Series representations of the remainders in the expansion for certain trigonometric and hyperbolic functions with applications

Integrals of products of Hurwitz zeta functions and the Casimir effect in $ϕ^{4}$ field theories