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How Joe Gillis discovered combinatorial special function theory. (English) Zbl 0839.01014

Brief biographical notes on J. Gillis and remarks about his rediscovery of connections, via recurrence relations, between combinatorics and special functions.

MSC:

01A70 Biographies, obituaries, personalia, bibliographies
05A19 Combinatorial identities, bijective combinatorics

Biographic References:

Gillis, Joseph
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References:

[1] Even, S.; Gillis, J., Derangements and Laguerre polynomials, Proc. Cambridge Phil. Soc., 79, 135-143 (1976) · Zbl 0325.05006 · doi:10.1017/S0305004100052154
[2] G. Chrystal,Algebra, Chelsea, New York, Vol. 2., 1964.
[3] Gillis, J.; Weiss, G., Products of Laguerre polynômials, M.T.A.C. (now Math. Comp.), 14, 60-63 (1960) · Zbl 0124.03505
[4] D. Foata, Combinatoire de identitiés sur le polynômes orthogonaux,Proc. Internat. Congress of Mathematicans [Warsaw, Aug. 16-24, 1983], Warsaw, 1983.
[5] Zeng, J., Weighted derangements and the linearization coefficients of orthogonal Sheffer polynomials, Proc. London Math. Soc., 65, 3, 1-22 (1992) · Zbl 0770.05006 · doi:10.1112/plms/s3-65.1.1
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