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arxiv: math-ph/0105031 · v3 · submitted 2001-05-23 · 🧮 math-ph · math.AG· math.MP· math.NT· nlin.SI

Recursion Relation of Hyperelliptic Psi-Functions of Genus Two

classification 🧮 math-ph math.AGmath.MPmath.NTnlin.SI
keywords recursionrelationcantorderivationgenushyperellipticalgebraicanalytic
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A recursion relation of hyperelliptic psi functions of genus two, which was derived by D.G. Cantor (J. reine angew. Math. 447 (1994) 91-145), is studied. As Cantor's approach is algebraic, another derivation is presented as a natural extension of the analytic derivation of the recursion relation of the elliptic psi function.

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