Algebroid function
# Algebroid function

In mathematics, an algebroid function is a solution of an algebraic equation whose coefficients are analytic functions. So y(z) is an algebroid function if it satisfies

    $a_{d}(z)y^{d}+\ldots +a_{0}(z)=0,$

where $a_{k}(z)$ are analytic. If this equation is irreducible then the function is d-valued, and can be defined on a Riemann surface having d sheets.

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