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On a polynomial transformation of hypergeometric equations, Heun's differential equation and exceptional Jacobi polynomials

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arxiv 1306.4889 v1 pith:XJP36CCX submitted 2013-06-20 math-ph math.MP

classification math-phmath.MP
keywords equationsequationexceptionalheunhypergeometricjacobipolynomialpolynomials
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This paper addresses a general method of polynomial transformation of hypergeometric equations. Examples of some classical special equations of mathematical physics are generated. Heun's equation and exceptional Jacobi polynomials are also treated.

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  1. Covering space maps for $n$-point functions with three long twists

    hep-th 2025-07 conditional novelty 7.0 of 10

    Explicit covering-space maps for three long twists plus any number of twist-2 operators are constructed, yielding closed-form four- and five-point bare twist correlators in the ΔN=1,2 cases.

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