Mathematical Sciences: Research in Generalized Special      Functions
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There is a long list of mathematical functions (Bessel,                    hypergeometric, and the like) called special because of their                   omnipresence in applications, where they are often encountered as               solutions to differential equations. The research in this project               centers on analogues of the hypergeometric functions in which the               argument is a matrix, rather than a real or complex number. The                 representation theory of the general linear group plays a major                 role in this investigation, because the generalized                             hypergeometric functions can be thought of as having for their                  domain of definition a certain quotient of that group. There is a               high degree of contact with multivariate statistics, Professor                  Richards' original research area, and with combinatorial problems               of great current interest to algebraists.
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[{'Code': '1262', 'Text': 'MODERN ANALYSIS'}, {'Code': '1263', 'Text': 'PROBABILITY'}, {'Code': '1271', 'Text': 'COMPUTATIONAL MATHEMATICS'}]
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