On the common right factors of meromorphic functions
by T.W. Ng
THESIS
1995
M.Phil. Mathematics
v, 36 leaves ; 30 cm
Abstract
The factorization theory of meromorphic functions of one complex variable is to study how a given meromorphic function can be factorized into other meromorphic functions in the sense of composition. In this thesis, common right factors (in the sense of composition) of p1 + p2F and p3 + p4F are investigated. Here, F is a transcendental meromorphic function and pi's are non-zero polynomials. Moreover, we also prove that the quotient
(pl+p2F)/(p3+p4F) is pseudo - prime under some restrictions on F and the pi's. Particularly, we have generalized some previous works of H.Urabe.
Post a Comment