Special functions, Fundamental solutions of elliptic partial differential equations, Associated Legendre functions, Gauss hypergeometric functions, Fundamental solutions for Laplace's equation on highly symmetric manifolds, Eigenfunction expansions of fundamental solutions in separable coordinate systems for linear partial differential equations, Gauss hypergeometric orthogonal polynomial expansions, q-series, digital repository of mathematical formulae
Fellowships, Honors and Awards
Figure from Cohl & Volkmer (2013) used as cover art for June edition: Journal of Mathematical Physics, 54, 6, 063513.
Figure from Cohl & Kalnins (2012) used as print edition cover image for Journal of Physics A: Mathematical and Theoretical, 45, 14, 145206.
"Fourier and Gegenbauer expansions of a fundamental solution of Laplace's equation on Riemannian spaces of constant curvature," H. S. Cohl, Clifford Analysis Seminar, Department of Mathematical Analysis, Ghent University, Ghent, Belgium, April 4, 2013.
"Fourier and Legendre expansions for Green's functions of elliptic PDEs," H. S. Cohl, United States Army Research Laboratory, Adelphi, Maryland, March 13, 2013.
"Generalizations of generating functions for hypergeometric orthogonal polynomials," H. S. Cohl, Department of Mathematics Special Seminar, Tulane University, New Orleans, Louisiana, February 21, 2013.
"Expansions for the iterated Poisson equation on d-dimensional Euclidean space," H. S. Cohl, Department of Mathematical Sciences Colloquium, George Mason University, Fairfax, Virginia, December 7, 2012.
"Generalizations and specializations of generating functions for Jacobi, Gegenbauer, Chebyshev and Legendre polynomials with definite integrals," H. S. Cohl and Connor MacKenzie, Journal of Classical Analysis, (accepted) 2013.
"On a generalization of the generating function for Gegenbauer polynomials," H. S. Cohl, Integral Transforms and Special Functions, DOI 10.1080/10652469.2012.761613 (appeared online), 2013.
"Generalizations of generating functions for hypergeometric orthogonal polynomials with definite integrals," H. S. Cohl, Connor MacKenzie and Hans Volkmer, Journal of Mathematical Analysis and Applications, 407, 2, 211-225, 15 pages, 2013.
"Separation of variables in an asymmetric cyclidic coordinate system," H. S. Cohl and Hans Volkmer, Journal of Mathematical Physics, 54, 6, 063513, 23 pages, 2013.
"Fourier expansions for a logarithmic fundamental solution of the polyharmonic equation," H. S. Cohl, Journal of Classical Analysis, 2, 2, 107-127, 2013.
"Fourier, Gegenbauer and Jacobi expansions for a power-law fundamental solution of the polyharmonic equation and polyspherical addition theorems," H. S. Cohl, Symmetry, Integrability and Geometry: Methods and Applications, 9, 042, 26 pages, 2013.
"Definite integrals using orthogonality and integral transforms," H. S. Cohl and Hans Volkmer, Symmetry, Integrability and Geometry: Methods and Applications, 8, 077, 10 pages, 2012.
Applied and Computational Mathematics
Mathematical Software Group
2010-present: Mathematician, Applied and Computational Mathematics Division, NIST
Ph.D., Mathematics, The University of Auckland, New Zealand, 2010.
Ph.D., Physics, Louisiana State University, Baton Rouge, Louisiana, 1999.
B.S., Astronomy and Astrophysics, Indiana University, Bloomington, Indiana, 1990.