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.
Fellowships, Honors, and Awards
Figure from Cohl & Kalnins (2012) used as print edition cover image for Journal of Physics A: Mathematical and Theoretical, 45, 14, 145206.
Runner-up prize, under the Engineering/Mathematics category, at 18th annual NIST Sigma Xi Postdoctoral Poster Presentation entitled, "Fourier and Gegenbauer expansions for fundamental solution of the Laplacian and powers in Euclidean and hyperbolic space."
"The Fourier and Gegenbauer analysis of fundamental solutions for Laplace's equation on Riemannian spaces of constant curvature,'' H. S. Cohl, Harmonic Analysis Seminar, Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana, August 14, 2012.
"Super expansions and definite integrals for Jacobi, Gegenbauer, Legendre and Chebyshev polynomials," H. S. Cohl, International Symposium on Orthogonal Polynomials and Special Functions – A Complex Analytic Perspective, Copenhagen, Denmark, June 14, 2012.
"Fourier, Gegenbauer and Jacobi expansions,'' H. S. Cohl, The Department of Mathematics and Statistics Colloquium, Department of Mathematics and Statistics, American University, Washington DC, March 20, 2012.
"Erratum: "Developments in determining the gravitational potential using toroidal functions"" Howard S. Cohl, Astronomische Nachrichten, 333, 8, 784–785, 2012.
"Eigenfunction expansions for a fundamental solution of Laplace’s equation on R3 in parabolic and elliptic cylinder coordinates," Howard S. Cohl and Hans Volkmer, 2012, Journal of Physics A: Mathematical and Theoretical, 45, 35, 355204, 20 pages, 2012.
"Table Errata to "Formulas and theorems for the special functions of mathematical physics," by W.Magnus, F. Oberhettinger & R. P. Soni (1966)," Howard S. Cohl, Mathematics of Computation, 81, 280, 2251, 2012.
"Fourier and Gegenbauer expansions for a fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry," Howard S. Cohl and Ernie G. Kalnins, 2012, Journal of Physics A: Mathematical and Theoretical, 45, 14, 145206, 32 pages, 2012.
"Generalized Heine's identity for complex Fourier series of binomials," Howard S. Cohl and Diego E. Dominici, Proceedings of the Royal Society A, 467, 333-345, 2011.
"Fundamental solution of the Laplacian in hyperspherical geometry," Howard S. Cohl, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 7, 108, 14 pages, 2011.
Applied and Computational Mathematics
Mathematical Software Group
2010-present: NRC Postdoc, 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.