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References
G. E. Andrews, The Rogers-Ramanujan identities, problem 74-12, SIAM Review, 16 (1974), 390.
-, The Theory of Partitions, vol. 2 in Encyclopedia of Mathematics, ed. G.-C. Rota, Addison Wesley, Reading, Mass., 1976.
R. Askey and J. Wilson, Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials, to appear.
D. M. Bressoud, On partitions, orthogonal polynomials and the expansion of certain infinite products, Proc. London Math. Soc., to appear.
D. M. Bressoud, Some identities for terminating q-series, Math. Proc. Cambridge Philos. Soc., to appear.
A. Cauchy, Second Mémoire sur les fonctions dont plusiers valeurs sont liées entre elles par une equation lineaire, C. R. 17 (1843), 567–572. Reprinted in Oeuvres, Ser. 1, vol. 8, pp. 50–55, Gauthier-Villars, Paris.
E. Heine, Untersuchungen uber die Reihe..., J. Reine Angew. Math., 34 (1847), 285–328.
L. J. Rogers, On the expansion of some infinite products, Proc. London Math. Soc., 24 (1893), 337–352.
-, Second memoir on the expansion of certain infinite products, Proc. London Math. Soc., 25 (1894), 318–343.
-, Third memoir on the expansion of certain infinite products, Proc. London Math. Soc., 26 (1895), 15–32. *** DIRECT SUPPORT *** A00J4373 00009
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Bressoud, D.M. (1981). Theta function identities and orthogonal polynomials. In: Knopp, M.I. (eds) Analytic Number Theory. Lecture Notes in Mathematics, vol 899. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096472
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DOI: https://doi.org/10.1007/BFb0096472
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