This paper discusses some basic properties of algebroid functions in a subdomain of the complex plane and some similar results (to those in the whole complex plane) and a new situation are showed.
Applying Nevanlinna’s theory, R. Nevanlinna obtained the unicity theorem of meromorphic functions, G. Valiron and He Yuzan obtained the unicity theorem of transcendental algebroid functions. But for non-transcendenta...Applying Nevanlinna’s theory, R. Nevanlinna obtained the unicity theorem of meromorphic functions, G. Valiron and He Yuzan obtained the unicity theorem of transcendental algebroid functions. But for non-transcendental algebroid functions (algebraic functions), Nevanlinna’s theory is inefficient.展开更多
文摘This paper discusses some basic properties of algebroid functions in a subdomain of the complex plane and some similar results (to those in the whole complex plane) and a new situation are showed.
文摘Applying Nevanlinna’s theory, R. Nevanlinna obtained the unicity theorem of meromorphic functions, G. Valiron and He Yuzan obtained the unicity theorem of transcendental algebroid functions. But for non-transcendental algebroid functions (algebraic functions), Nevanlinna’s theory is inefficient.
