Algebroidal Function

An Analytic Function $f(z)$ satisfying the irreducible algebraic equation

$$A_0(z)f^k+A_1(z)f^{k-1}+\ldots+A_k(z)=0$$

with single-valued Meromorphic functions $A_j(z)$ in a Complex Domain $G$ is called a $k$-algebroidal function in $G$.

References

Iyanaga, S. and Kawada, Y. (Eds.). ``Algebroidal Functions.'' §19 in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, pp. 86-88, 1980.