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Congruence properties of the polynomials of Hermite, Laguerre and Legendre. (English) Zbl 0055.06401


MSC:

11C08 Polynomials in number theory
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
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References:

[1] Carlitz, L.: Congruences for the number ofn-gons formed byn lines. Amer. Math. Monthly, to appear.
[2] Feldheim, E.: Quelques nouvelles relations pour les polynomes d’Hermite. J. London Math. Soc.13, 22-29 (1938). · Zbl 0018.21301
[3] Robinson, R.: A new absolute geometric constant? Amer. Math. Montly58, 462-469 (1951). · Zbl 0043.27704
[4] Szegö, G.: Orthogonal polynomials. Amer. Math. Soc., Colloquium Publ. New York23 (1938). · Zbl 0018.30302
[5] Wahab, J.: New cases of irreducibility for Legendre polynomials. Duke Math. J.19, 165-176 (1952). · Zbl 0049.29602
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