Rogers%E2%80%93Ramanujan%20identities
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1: 17.18 Methods of Computation
2: David M. Bressoud
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►His books are Analytic and Combinatorial
Generalizations of the Rogers-Ramanujan Identities, published in Memoirs of the American Mathematical Society 24, No.
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3: Bibliography
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Functional inequalities for hypergeometric functions and complete elliptic integrals.
SIAM J. Math. Anal. 23 (2), pp. 512–524.
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-identities of Auluck, Carlitz, and Rogers.
Duke Math. J. 33 (3), pp. 575–581.
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Summations and transformations for basic Appell series.
J. London Math. Soc. (2) 4, pp. 618–622.
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Multiple series Rogers-Ramanujan type identities.
Pacific J. Math. 114 (2), pp. 267–283.
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Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters.
J. Math. Anal. Appl. 416 (1), pp. 52–80.
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4: 17.12 Bailey Pairs
5: 17.14 Constant Term Identities
6: 26.10 Integer Partitions: Other Restrictions
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►The set is denoted by .
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Table 26.10.1: Partitions restricted by difference conditions, or equivalently with parts from .
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§26.10(iv) Identities
►Equations (26.10.13) and (26.10.14) are the Rogers–Ramanujan identities. …7: Bibliography R
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Congruence properties of partitions.
Math. Z. 9 (1-2), pp. 147–153.
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Some properties of Bernoulli’s numbers (J. Indian Math. Soc. 3 (1911), 219–234.).
In Collected Papers,
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Collected Papers of Srinivasa Ramanujan.
Chelsea Publishing Co., New York.
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Combinatorial Identities.
Robert E. Krieger Publishing Co., Huntington, NY.
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Partial fractions expansions and identities for products of Bessel functions.
J. Math. Phys. 46 (4), pp. 043509–1–043509–18.
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8: Bibliography B
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Rogers-Ramanujan identities in the hard hexagon model.
J. Statist. Phys. 26 (3), pp. 427–452.
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Rogers-Ramanujan Identities: A Century of Progress from Mathematics to Physics.
In Proceedings of the International Congress of Mathematicians,
Vol. III (Berlin, 1998),
pp. 163–172.
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Ramanujan’s Notebooks. Part II.
Springer-Verlag, New York.
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Ramanujan’s Notebooks. Part III.
Springer-Verlag, Berlin-New York.
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Methods of calculation of radial wave functions and new tables of Coulomb functions.
Physical Rev. (2) 80, pp. 553–560.
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9: Bibliography L
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Elliptic Functions and Applications.
Applied Mathematical Sciences, Vol. 80, Springer-Verlag, New York.
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Ramanujan’s function
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Duke Math. J. 10 (3), pp. 483–492.
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The vanishing of Ramanujan’s function
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Duke Math. J. 14 (2), pp. 429–433.
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Lie algebraic approaches to classical partition identities.
Adv. in Math. 29 (1), pp. 15–59.
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A Lie theoretic interpretation and proof of the Rogers-Ramanujan identities.
Adv. in Math. 45 (1), pp. 21–72.
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