**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.

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 S. Costas-Santos

One may consider the generalization of Jacobi polynomials and the Jacobi func- tion of the second kind to a general function where the index is allowed to be a

Author(s)

Hans Volkmer, Brandon Alexander,

The Laplace equation in three-dimensional Euclidean space is R-separable in bi-cyclide coordinates leading to harmonic functions expressed in terms of Lamé

Author(s)

, Bela Gipp, Moritz Schubotz, Philipp Scharpf

Citation-based Information Retrieval (IR) methods for scientific documents have proven effective for IR applications, such as Plagiarism Detection or Literature

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)

,

By using the three-term recurrence relation for orthogonal polynomials, we produce a collection of two-dimensional contiguous relations for certain generalized

Created October 9, 2019, Updated December 8, 2022