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On the common right factors of meromorphic functions

Published online by Cambridge University Press:  17 April 2009

Tuen-Wai Ng  and
Chung-Chun Yang
Tuen-Wai Ng
Affiliation:
Department of Mathematics, Hong King University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, e-mail: mayang@usthk.ust.hk
Chung-Chun Yang
Affiliation:
Department of Mathematics, Hong King University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, e-mail: mayang@usthk.ust.hk
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In this paper, 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 (p1 + p2F)/(p3 + p4F) is pseudo-prime under some restrictions on F and the pi's. As an application of our results, we have proved that R (z) H (z)is pseudo-prime for any nonconstant rational function R (z) and finite order periodic entire function H (z).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 55 , Issue 3 , June 1997 , pp. 395 - 403
Copyright
Copyright © Australian Mathematical Society 1997

References

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