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21: 35.12 Software
In this section we provide links to the research literature describing the implementation of algorithms in software for the evaluation of functions described in this chapter. Citations in the bulleted list refer to papers for which research software has been made available and can be downloaded via the Web. References to research software that is available in other ways is listed separately.
  • Demmel and Koev (2006). Computation of zonal polynomials in MATLAB.

  • Koev and Edelman (2006). Computation of hypergeometric functions of matrix argument in MATLAB.

  • 22: 17.19 Software
    In this section we provide links to the research literature describing the implementation of algorithms in software for the evaluation of functions described in this chapter. Citations in the bulleted list refer to papers for which research software has been made available and can be downloaded via the Web. …
    23: Ingram Olkin
     1924 in Waterbury, Connecticut, d. … in mathematics, City College, New York, M. … in mathematical statistics, University of North Carolina. …  Marshall), published by Springer in 2008. …  National Academy of Education in 2005. …
    24: George E. Andrews
     1938 in Salem, Oregon) is Evan Pugh University Professor in Mathematics at Penn State University. …He has a long-term interest in the work of S. Ramanujan, whose last notebook he unearthed in 1976. … Andrews was elected to the American Academy of Arts and Sciences in 1997, and to the National Academy of Sciences (USA) in 2003. …In 2009 he became a SIAM Fellow. …
    25: 17.16 Mathematical Applications
    Many special cases of q -series arise in the theory of partitions, a topic treated in §§27.14(i) and 26.9. In Lie algebras Lepowsky and Milne (1978) and Lepowsky and Wilson (1982) laid foundations for extensive interaction with q -series. These and other applications are described in the surveys Andrews (1974, 1986). More recent applications are given in Gasper and Rahman (2004, Chapter 8) and Fine (1988, Chapters 1 and 2).
    26: 21.11 Software
    In this section we provide links to the research literature describing the implementation of algorithms in software for the evaluation of functions described in this chapter. Citations in the bulleted list refer to papers for which research software has been made available and can be downloaded via the Web. A more complete list of available software for computing these functions is found in the Software Index. …
    27: Howard S. Cohl
     1968 in Paterson, New Jersey) is a Mathematician in the Applied and Computational Mathematics Division at the National Institute of Standards and Technology in Gaithersburg, Maryland. …  in astronomy and astrophysics from Indiana University, Bloomington, Indiana, a M. … in physics from Louisiana State University, Baton Rouge, Louisiana, and a Ph. …in mathematics from the University of Auckland in New Zealand. Cohl has published papers in orthogonal polynomials and special functions, and is particularly interested in fundamental solutions of linear partial differential equations on Riemannian manifolds, associated Legendre functions, generalized and basic hypergeometric functions, eigenfunction expansions of fundamental solutions in separable coordinate systems for linear partial differential equations, orthogonal polynomial generating function and generalized expansions, and q -series. …
    28: Joyce E. Conlon
     1957 in Richmond, Virginia, d.  2007) served as a NIST staff member from 1985 until her retirement in 2005. …In 1999 she joined the NIST Mathematical and Computational Sciences Division, where she contributed to the DLMF project, especially in the construction of the bibliography. Subsequently, she was a NIST contractor for the DLMF project until her sudden death in 2007. … in Mathematics from the University of Maryland Baltimore County in 1979. …
    29: Karl Dilcher
     1954 in Wabern-Harle, Germany) is Professor in the Department of Mathematics and Statistics at Dalhousie University in Halifax, Nova Scotia, Canada. He received his undergraduate education at the Technische Universität Clausthal in Germany. He then did his graduate studies at Queen’s University in Kingston, Ontario, and finished his Ph. …there in 1983 under the supervision of Paulo Ribenboim. … In November 2015, Dilcher was named Associate Editor for his chapter.
    30: T. Mark Dunster
     1959 in Eastleigh, U. …is a Professor in the Department of Mathematics and Statistics, San Diego State University, California. …in applied mathematics in 1986 from Bristol University, U. …He has received a number of National Science Foundation grants, and has published numerous papers in the areas of uniform asymptotic solutions of differential equations, convergent WKB methods, special functions, quantum mechanics, and scattering theory. … In November 2015, Dunster was named Associate Editor for his chapter.