7 citations · 9 across the 4 of their papers we have counts for
4 papers
Geodesic surfaces in the complement of knots with small crossing number
Khanh Le, Rebekah Palmer
In this article, we investigate the problem of counting totally geodesic surfaces in the complement of hyperbolic knots with at most 9 crossings. Adapting previous counting techniq…
Totally geodesic surfaces in twist knot complements
Khanh Le, Rebekah Palmer
In this article, we give explicit examples of infinitely many non-commensurable (non-arithmetic) hyperbolic -manifolds admitting exactly totally geodesic surfaces for any po…
Some dual definite integrals for Bessel functions
Howard S. Cohl, Sean J. Nair, Rebekah M. Palmer
Based on known definite integrals of Bessel functions of the first kind, we obtain exact solutions to unknown definite integrals using the method of integral transforms from Hankel…
Fourier and Gegenbauer Expansions for a Fundamental Solution of Laplace's Equation in Hyperspherical Geometry
Howard S. Cohl, Rebekah M. Palmer
For a fundamental solution of Laplace's equation on the -radius -dimensional hypersphere, we compute the azimuthal Fourier coefficients in closed form in two and three dimens…