ON MEROMORPHIC FUNCTIONS SHARING A ONE-POINT SET AND THREE TWO-POINT SETS CM

被引：5

作者：

Shirosaki, Manabu ^{[1
]}

机构：

[1] Osaka Prefecture Univ, Sch Engn, Dept Math Sci, Sakai, Osaka 5998531, Japan

来源：

关键词：

Uniqueness theorem; Sharing sets; Nevanlinna theory;

D O I：

10.2996/kmj/1364562718

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if two meromorphic functions sharing a one-point set and three two-point sets CM, then one of them is a Mobius transform of the other.

引用

页码：56 / 68

页数：13

共 8 条

[1] [Anonymous], INTRO COMPLEX HYPERB
[2] COX D., 1988, USING ALGEBRAIC GEOM
[3] HAYMAN WK, 1964, MEROMORPHIC FUNCTION
[4] LI P., 1997, Complex Variables Theory Appl., V32, P177
[5] An unequivocal clause in the theory of meromorphic function
Nevanlinna, R
[J]. ACTA MATHEMATICA, 1927, 48 (3-4) : 367 - 391
[6] Shirosaki M., 2006, Kodai Math. J., V29, P475
[7] On meromorphic functions sharing two one-point sets and two two-point sets
Shirosaki, Manabu
Taketani, Masaharu
[J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2007, 83 (03) : 32 - 35
[8] Tohge K., 1988, KODAI MATH J, V11