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Howard Cohl (Fed)

Research Interests

Special functions, Fundamental solutions of elliptic partial differential nist-equations, Associated Legendre functions, Gauss hypergeometric functions, Fundamental solutions for Laplace's nist-equation on highly symmetric manifolds, Eigenfunction expansions of fundamental solutions in separable coordinate systems for linear partial differential nist-equations, Gauss hypergeometric orthogonal polynomial expansions, q-series, digital repository of mathematical formulae

Recent Presentations

"Automated Symbolic and Numerical Testing of DLMF Formulae using Computer Algebra Systems," H. S. Cohl, A. Greiner-Petter, M. Schubotz, 11th Conference on Intelligent Computer Mathematics, Research Institute for Symbolic Computation (RISC), Johannes Kepler Universität Linz, Hagenberg, Austria, August 15, 2018.

"Generalizations of linearization formulae for continuous hypergeometric orthogonal polynomials," H. S. Cohl, Symbolic Computation Group Seminar, Johann Radon Institute for Computational and Applied Mathematics (RICAM), Johannes Kepler University, Linz, Austria, August 9, 2018.

"Fundamental Solutions and Gegenbauer Expansions of Helmholtz Equations on d-dimensional Riemannian Spaces of Constant Curvature," H. S. Cohl, T. H. Dang, T. M. Dunster, Analysis Seminar, Department of Mathematics, The University of Auckland, Auckland, New Zealand, February 5, 2018.

"Fundamental Solutions and Gegenbauer Expansions of Helmholtz Equations on d-dimensional Riemannian Spaces of Constant Curvature," H. S. Cohl, T. H. Dang, T. M. Dunster, Kalnins Fest 2018: Harnessing Hidden Symmetry: Geometry and Superintegrable Systems, Takapuna, Auckland, New Zealand, February 2, 2018.

"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 nist-equation on d-dimensional Euclidean space," H. S. Cohl, Department of Mathematical Sciences Colloquium, George Mason University, Fairfax, Virginia, December 7, 2012.

"Semantic Preserving Bijective Mappings of Mathematical Formulae between Semantic LaTeX and Computer Algebra Systems," H. S. Cohl, M. Schubotz, A. Youssef, A. Greiner-Petter, J. Gerhard, B. V. Saunders, M. A. McClain, J. Bang and K. Chen, Joint Mathematics Meetings 2018: Mathematical Information in Digital Age of Science, January 12, 2018.

"Generalizations of generating functions for basic hypergeometric orthogonal polynomials," H. S. Cohl, R. S. Costas-Santos, Joint Mathematics Meetings 2018: Orthogonal Polynomials and Applications, January 10, 2018.

Recent Publications 

"On a generalization of the Rogers generating function," H. S. Cohl, R. S. Costas-Santos, T. V. Wakhare, accepted in Journal of Mathematical Analysis and Applications, 2019. 

"Semantic Preserving Bijective Mappings for Expressions involving Special Functions between Computer Algebra Systems and Document Preparation Systems," A. Greiner-Petter, H. S. Cohl, M. Schubotz, and B. Gipp, accepted in Aslib Journal of Information Management, 2019. 

"Improving the representation and conversion of mathematical formulae by considering their textual context,” reprint of https://doi.org/10.1145/3197026.3197058, M. Schubotz, A. Greiner-Petter, P. Scharpf, N. Meuschke, H. S. Cohl, and B. Gipp. TUGBOAT, The Communications of the TEX Users Group, 39, 3, 228-240, 13 pages, 2018. 

"Fundamental Solutions and Gegenbauer Expansions of Helmholtz Operators in Riemannian Spaces of Constant Curvature,” H. S. Cohl, T. H. Dang, and T. M. Dunster, Symmetry, Integrability and Geometry: Methods and Applications, Special Issue on Orthogonal Polynomials, Special Functions and Applications (OPSFA14), 14, 136, 45 pages, 2018.

"Some generating functions for q-polynomials," H. S. Cohl, R. S. Costas-Santos, and T. V. Wakhare, Symmetry, 10, 12, 758, 12 pages. 2018.

 

Talks 

 

For recent talks, navigate to this link.

 

Awards

NIST ACMD Award (2017) Extraordinary Service as a Student Mentor

Selected for inclusion in 69th Edition of Marquis Who’s Who in America (2015)

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.

Publications

Towards Formula Concept Discovery and Recognition

Author(s)
Howard S. Cohl, Philipp Scharpf, Moritz Schubotz, Bela Gipp
Citation-based Information Retrieval (IR) methods for scientific documents have proven to be effective in academic disciplines that use many references. In

On a generalization of the Rogers generating function

Author(s)
Howard S. Cohl, Roberto Costas-Santos, Tanay Wakhare
We derive a generalized Rogers generating function and corresponding definite integral, for the continuous q-ultraspherical polynomials by applying its
Created October 9, 2019