**Research Interests**

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

**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 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.

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.

Author(s)

, Roberto Costas-Santos

In many cases one may encounter an integral which is of $q$-Mellin--Barnes type. These integrals are easily evaluated using theorems which have a long history

Author(s)

Hans Volkmer, Lijuan Bi,

We derive an expansion for the fundamental solution of Laplace's equation in flat-ring cyclide coordinates in three-dimensional Euclidean space. This expansion

Author(s)

We obtain antiderivatives and complex integral representations for associated Legendre functions and Ferrers functions (associated Legendre functions on-the-cut

Author(s)

, Roberto Costas-Santos, Linus Ge

In this survey paper, we exhaustively explore the terminating basic hypergeometric representations of the Askey-Wilson polynomials and the corresponding

Author(s)

, Andre Greiner Petter, Moritz Schubotz, Corinna Breitinger, Fabian Muller, Akiko Aizawa, Bela Gipp

Mathematical notation, i.e., the writing system used to communicate concepts in mathematics, encodes valuable information for a variety of information search

Created October 9, 2019, Updated December 8, 2022