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Meromorphic functions sharing some finite sets IM
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We show that if two nonconstant meromorphic functions $f$ and $g$ on $\mathbb C$ sharing some finite sets IM, then there is a nonconstant rational function $R(z)$ such that $R(f)=R(g)$.
Abstract
We show that if two nonconstant meromorphic functions $f$ and $g$ on $\mathbb C$ sharing some finite sets IM, then there is a nonconstant rational function $R(z)$ such that $R(f)=R(g)$.
참고문헌 (10)
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- R. Nevanlinna, "theorem de Picard-Borel et la theorie des fonctions meromorphes" (1929), Gauthier-Villars
- I. V. Ostrovskii, "A remark on complex polynomials of least deviation", Internat. Math. Res. Notices, 1996(14), pp.699~703 (1996)[DOI]
- M. Shirosaki, "On meromorphic functions sharing five one-point sets or two two-point sets IM", Proc Japan Acad. Ser. A, 86(1), pp.6~9 (2010)[DOI]
- M. Shirosaki, "On meromorphic functions sharing a one-point set and three two-point sets CM", Kodai Math. J., 36(1), pp.56~68 (2013)[DOI]
- M. Shirosaki, "On meromorphic functions sharing four two-point sets CM", Kodai Math. J., 36(2), pp.386~395 (2013)[DOI]
- M. Shirosaki, "On meromorphic functions sharing two one-point sets and two two-point sets", Proc. Japan Acad. Ser. A Math. Sci., 83(3), pp.32~35 (2007)[DOI]
- K. Tohge, "Meromorphic functions covering certain finite sets at the same points", Kodai Math. J., 11(2), pp.249~279 (1988)[DOI]
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