# extensions

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## 1—10 of 84 matching pages

##### 1: 17.16 Mathematical Applications

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►In Lie algebras Lepowsky and Milne (1978) and Lepowsky and Wilson (1982) laid foundations for extensive interaction with $q$-series.
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##### 2: 16.7 Relations to Other Functions

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►Further representations of special functions in terms of ${}_{p}{}^{}F_{q}^{}$ functions are given in Luke (1969a, §§6.2–6.3), and an extensive list of ${}_{q+1}{}^{}F_{q}^{}$ functions with rational numbers as parameters is given in Krupnikov and Kölbig (1997).

##### 3: 16.20 Integrals and Series

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►Extensive lists of Laplace transforms and inverse Laplace transforms of the Meijer $G$-function are given in Prudnikov et al. (1992a, §3.40) and Prudnikov et al. (1992b, §3.38).
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##### 4: 4.46 Tables

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►Extensive numerical tables of all the elementary functions for real values of their arguments appear in Abramowitz and Stegun (1964, Chapter 4).
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##### 5: 14.26 Uniform Asymptotic Expansions

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►For an extension of §14.15(iv) to complex argument and imaginary parameters, see Dunster (1990b).
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##### 6: 17.17 Physical Applications

##### 7: 34.10 Zeros

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►For further information, including examples of nontrivial zeros and extensions to $\mathit{9}j$ symbols, see Srinivasa Rao and Rajeswari (1993, pp. 133–215, 294–295, 299–310).

##### 8: 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.
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##### 9: Jim Pitman

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►He has published extensively on probability, stochastic processes, combinatorics and is a champion for open access to resources in mathematics.
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