Jacobi identities
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21—26 of 26 matching pages
21: Bibliography L
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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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Co-recursive associated Jacobi polynomials.
J. Comput. Appl. Math. 57 (1-2), pp. 203–213.
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Jacobi polynomial expansions of a generalized hypergeometric function over a semi-infinite ray.
Math. Comp. 17 (84), pp. 395–404.
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22: 18.21 Hahn Class: Interrelations
23: Bibliography M
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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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24: 17.8 Special Cases of Functions
25: 18.36 Miscellaneous Polynomials
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§18.36(i) Jacobi-Type Polynomials
►These are OP’s on the interval with respect to an orthogonality measure obtained by adding constant multiples of “Dirac delta weights” at and to the weight function for the Jacobi polynomials. … ►The possibility of generalization to , for , is implicit in the identity Szegő (1975, page 102), … ►
18.36.7
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26: Bibliography W
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An algorithmic proof theory for hypergeometric (ordinary and “”) multisum/integral identities.
Invent. Math. 108, pp. 575–633.
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Rational function certification of multisum/integral/“” identities.
Bull. Amer. Math. Soc. (N.S.) 27 (1), pp. 148–153.
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Explicit formulas for the associated Jacobi polynomials and some applications.
Canad. J. Math. 39 (4), pp. 983–1000.
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Asymptotic monotonicity of the relative extrema of Jacobi polynomials.
Canad. J. Math. 46 (6), pp. 1318–1337.
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Estimates for the error term in a uniform asymptotic expansion of the Jacobi polynomials.
Anal. Appl. (Singap.) 1 (2), pp. 213–241.
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