Ramanujan%20identity
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6 matching pages
1: 20.11 Generalizations and Analogs
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§20.11(ii) Ramanujan’s Theta Function and -Series
►Ramanujan’s theta function is defined by … ►§20.11(iii) Ramanujan’s Change of Base
… ►These results are called Ramanujan’s changes of base. …2: 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 theories of elliptic functions to alternative bases.
Trans. Amer. Math. Soc. 347 (11), pp. 4163–4244.
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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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3: Bibliography S
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Transformations of the Jacobian amplitude function and its calculation via the arithmetic-geometric mean.
SIAM J. Math. Anal. 20 (6), pp. 1514–1528.
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Uniform asymptotic forms of modified Mathieu functions.
Quart. J. Mech. Appl. Math. 20 (3), pp. 365–380.
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On an identity of Ramanujan based on the hypergeometric series
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J. Number Theory 69 (2), pp. 125–134.
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Some identities involving the Riemann zeta function. II.
Indian J. Pure Appl. Math. 17 (10), pp. 1175–1186.
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A Maple package for symmetric functions.
J. Symbolic Comput. 20 (5-6), pp. 755–768.
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4: Bibliography L
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An asymptotic estimate for the Bernoulli and Euler numbers.
Canad. Math. Bull. 20 (1), pp. 109–111.
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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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5: Bibliography M
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Rational approximations, software and test methods for sine and cosine integrals.
Numer. Algorithms 12 (3-4), pp. 259–272.
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An elementary proof of the Macdonald identities for
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Adv. in Math. 57 (1), pp. 34–70.
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Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions.
Ramanujan J. 6 (1), pp. 7–149.
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New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan’s tau function.
Proc. Nat. Acad. Sci. U.S.A. 93 (26), pp. 15004–15008.
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The -analogue of the Laguerre polynomials.
J. Math. Anal. Appl. 81 (1), pp. 20–47.
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6: Bibliography D
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Recherches analytiques sur la théorie des nombres premiers. Deuxième partie. Les fonctions de Dirichlet et les nombres premiers de la forme linéaire
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Ann. Soc. Sci. Bruxelles 20, pp. 281–397 (French).
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Ramanujan’s master theorem for symmetric cones.
Pacific J. Math. 175 (2), pp. 447–490.
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Complex zeros of cylinder functions.
Math. Comp. 20 (94), pp. 215–222.
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Novel identities for simple - symbols.
J. Mathematical Phys. 16, pp. 318–319.
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Uniform asymptotic expansions for Whittaker’s confluent hypergeometric functions.
SIAM J. Math. Anal. 20 (3), pp. 744–760.
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