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Opportunity at National Institute of Standards and Technology (NIST)

Orthogonal Polynomials, Special Functions, and Digital Repositories

Location

Information Technology Laboratory, Applied and Computational Mathematics Division

RO# Location
50.77.11.B8087 Gaithersburg, MD

Please note: This Agency only participates in the February and August reviews.

Advisers

Name E-mail Phone
Cohl, Howard S howard.cohl@nist.gov 949-429-7381

Description

We conduct research in mathematics and computer science related to orthogonal polynomials and special functions. In the mathematics area, we investigate properties of the special functions of applied mathematics, especially series representations, definite integrals, and/or q-analogs of such expressions. In addition, we develop infinite series and definite integral expansions of fundamental solutions for linear elliptic partial differential equations on Riemannian manifolds of constant curvature (and/or their generalizations, the rank on symmetric spaces). Research in computer science includes the development of the software infrastructure to support the NIST online Digital Repository of Mathematical Formulae.

 

References

Cohl HS: Symmetry, Integrability and Geometry: Methods and Applications 9: 042, 2013

Cohl H, et al: Digital Repository of Mathematical Formulae, in Intelligent Computer Mathematics, Lecture Notes in Artificial Intelligence 8543. Springer, Edited by Watt SM, et al: 2014, 419422

 

Keywords:
Special functions; Orthogonal polynomials; Elliptic partial differential equations; Riemannian manifolds; Series expansions; Definite Integrals; Fundamental solutions; Mathematical knowledge management;

Eligibility

Citizenship:  Open to U.S. citizens
Level:  Open to Postdoctoral applicants
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