TY - JOUR
T1 - Differential polynomials and shared values
AU - Grahl, Jürgen
AU - Nevo, Shahar
PY - 2011
Y1 - 2011
N2 - Let f and g be non-constant meromorphic functions in C, a and b non-zero complex numbers and let n and k be natural numbers satisfying n ≥ 5k + 17. We show that if the differential polynomials fn + af(k) and gn + ag(k) share the value b CM, then f and g are either equal or at least closely related.
AB - Let f and g be non-constant meromorphic functions in C, a and b non-zero complex numbers and let n and k be natural numbers satisfying n ≥ 5k + 17. We show that if the differential polynomials fn + af(k) and gn + ag(k) share the value b CM, then f and g are either equal or at least closely related.
KW - Differential polynomials
KW - Shared values
KW - Uniqueness of meromorphic functions
UR - http://www.scopus.com/inward/record.url?scp=79851482977&partnerID=8YFLogxK
U2 - 10.5186/aasfm.2011.3603
DO - 10.5186/aasfm.2011.3603
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AN - SCOPUS:79851482977
SN - 1239-629X
VL - 36
SP - 47
EP - 70
JO - Annales Academiae Scientiarum Fennicae Mathematica
JF - Annales Academiae Scientiarum Fennicae Mathematica
IS - 1
ER -