Algebroid function explained

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

a ^{d} _{d(z)y} + \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