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In this paper, we deal with unicity of a nonconstant zero-order meromorphic function $f(z)$ and its shift $f(qz)$ when they share four distinct values $IM$ or share three distinct values with multiplicities truncated to level 4 in the extended complex plane, where $q\in\mathbb C\setminus\{0\}$. We also give an uniqueness result for $f(z)$ sharing sets with its shift.
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참고문헌 (14)
참고문헌 신청
W. W. Adams / 1964 / Non-archimedian analytic functions taking the same values at the same points / Illinois J. Math 15:418~424
D. C. Barnett / 2007 / Nevanlinna theory for the q-dierence operator and meromorphic solutions of q-dierence equations / Proc. Roy. Soc. Edinburgh Sect. A 137(3):457~474
G. G. Gundersen / 1992 / Meromorphic functions that share three values IM and a fourth value CM / Complex Variables Theory Appl 20(1-4):99~106
J. Heittokangas / 2011 / Uniqueness of meromorphic functions sharing values with their shifts / Complex Var. Elliptic Equ 56(1-4):81~92
J. Heittokangas / 2009 / Value sharing results for shifts of meromorphic functions, and sucient conditions for periodicity / J. Math. Anal. Appl 355(1):352~363
D. C. Barnett / 2007 / Nevanlinna theory for the q-dierence operator and meromorphic solutions of q-dierence equations / Proc. Roy. Soc. Edinburgh Sect. A 137(3):457~474
G. G. Gundersen / 1992 / Meromorphic functions that share three values IM and a fourth value CM / Complex Variables Theory Appl 20(1-4):99~106
J. Heittokangas / 2011 / Uniqueness of meromorphic functions sharing values with their shifts / Complex Var. Elliptic Equ 56(1-4):81~92
J. Heittokangas / 2009 / Value sharing results for shifts of meromorphic functions, and sucient conditions for periodicity / J. Math. Anal. Appl 355(1):352~363
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