arXiv subjects

George Boros

Publications and source records attributed to George Boros.

2 recordsLinked to original sources

arXiv2007

Landen transformations and the integration of rational functions

We present a rational version of the classical Landen transformation for elliptic integrals. This is employed to obtain explicit closed-form expressions for a large class of integrals of even rational functions and to develop an algorithm for the numerical integration of these functions.

math.CA↗

arXiv2003

On some families of integrals solvable in terms of polygamma and negapolygamma functions

Beginning with Hermite's integral representation of the Hurwitz zeta function, we derive explicit expressions in terms of elementary, polygamma, and negapolygamma functions for several families of integrals of the type $\int_0^\infty f(t)K(q,t)dt$ with kernels $K(q,t)$ equal to $(e^{2πq t}-1)^{-1}$, $(e^{2πq t}+1)^{-1}$, and $(\sinh(2πq t)^{-1}$.

math.CA↗