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1: 17.16 Mathematical Applications
In Lie algebras Lepowsky and Milne (1978) and Lepowsky and Wilson (1982) laid foundations for extensive interaction with q -series. …
2: 16.7 Relations to Other Functions
Further representations of special functions in terms of F q p functions are given in Luke (1969a, §§6.2–6.3), and an extensive list of F q q + 1 functions with rational numbers as parameters is given in Krupnikov and Kölbig (1997).
3: 16.20 Integrals and Series
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). …
4: 4.46 Tables
Extensive numerical tables of all the elementary functions for real values of their arguments appear in Abramowitz and Stegun (1964, Chapter 4). …
5: 14.26 Uniform Asymptotic Expansions
For an extension of §14.15(iv) to complex argument and imaginary parameters, see Dunster (1990b). …
6: 17.17 Physical Applications
Quantum groups also apply q -series extensively. …
7: 34.10 Zeros
For further information, including examples of nontrivial zeros and extensions to 9 j symbols, see Srinivasa Rao and Rajeswari (1993, pp. 133–215, 294–295, 299–310).
8: Tom H. Koornwinder
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. …
9: Jim Pitman
He has published extensively on probability, stochastic processes, combinatorics and is a champion for open access to resources in mathematics. …
10: 8.23 Statistical Applications
The functions P ( a , x ) and Q ( a , x ) are used extensively in statistics as the probability integrals of the gamma distribution; see Johnson et al. (1994, pp. 337–414). …