specialization
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1: 32.1 Special Notation
2: Mourad E. H. Ismail
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►Ismail has published numerous papers on special functions, orthogonal polynomials, approximation theory, combinatorics, asymptotics, and related topics.
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► 190, American Mathematical Society, 1995; Special Functions, -Series and Related Topics (with D.
… 254, American Mathematical Society, 2000; Special Functions—Proceedings of the International Workshop, Hong Kong, June 21–25, 1999, World Scientific, 2000; Special Functions 2000: Current Perspective and Future Directions (with J.
… Suslov), Kluwer Academic Publishers, 2001; Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics (with F.
… Garvan), Kluwer Academic Publishers, 2001; and Theory and Applications of Special Functions: A volume dedicated to Mizan Rahman (with E.
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3: Tom H. Koornwinder
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►Koornwinder has published numerous papers on special functions, harmonic analysis, Lie groups, quantum groups, computer algebra, and their interrelations, including an interpretation of Askey–Wilson polynomials on quantum SU(2), and a five-parameter extension (the Macdonald–Koornwinder polynomials) of Macdonald’s polynomials for root systems BC.
Books for which he has been editor or coeditor include Special Functions: Group Theoretical Aspects and Applications (with R.
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►Koornwinder has been active as an officer in the SIAM Activity Group on Special Functions and Orthogonal Polynomials.
Currently he is on the editorial board for Constructive Approximation, and is editor for the volume on Multivariable Special Functions in the ongoing Askey–Bateman book project.
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4: Nico M. Temme
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►He is also one of the Associate Editors for Special Functions in the DLMF project and a Senior Associate Editor of the DLMF.
►Temme’s main research interests are the asymptotic and numerical aspects of special functions.
…Segura) of Numerical Methods for Special Functions, published by SIAM in 2007.
…He has served on the editorial boards of the SIAM Journal on Mathematical Analysis, Mathematics of Computation, ZAMP, and Integral Transforms and Special Functions.
In July 2005, a conference Special Functions: Asymptotic Analysis and Computation was held in Santander, Spain, to celebrate his 65th birthday.
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5: Amparo Gil
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►Gil has published several papers on special functions and related topics.
… Temme) of the book Numerical Methods for Special Functions, published by SIAM in 2007.
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6: Javier Segura
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►Segura has published numerous papers on special functions and related topics.
…Temme) of the book Numerical Methods for Special Functions, published by SIAM in 2007.
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7: Mark J. Ablowitz
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►Certain nonlinear equations are special; e.
…for appropriate data they can be linearized by the Inverse Scattering Transform (IST) and they possess solitons as special solutions.
Their similarity solutions lead to special ODEs which have the Painlevé property; i.
…ODEs with the Painlevé property contain the well-known Painlevé equations which are special second order scalar equations; their solutions are often called Painlevé transcendents.
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8: Edward Neuman
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►Neuman has published several papers on approximations and expansions, special functions, and mathematical inequalities.
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9: 6.1 Special Notation
10: Richard A. Askey
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►Over his career his primary research areas were in Special Functions and Orthogonal Polynomials, but also included other topics from Classical Analysis and related areas.
His well-known book Special Functions (with G.
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►Additional books for which Askey served as author or editor include Orthogonal Polynomials and Special Functions, published by SIAM in 1975, Theory and application of special functions, published by Academic Press in 1975, Special Functions: Group Theoretical Aspects and Applications (with T.
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►Askey was presented a Lifetime Achievement Award in Recognition and Appreciation for his Outstanding Work and Leadership in the Field of Special Functions at the International Symposium on Orthogonal Polynomials, Special Functions and Applications in Hagenberg, Austria on July 24, 2019.
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