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For a transcendental entire function $f(z)$ with zero order, the purpose of this article is to study the value distributions of $q$-difference polynomial $f(qz)-a(f(z))^{n}$ and $f(q_{1}z)f(q_{2}z)\cdots f(q_{m}z)-a(f(z))^{n}.$ The property of entire solution of a certain $q$-difference equation is also considered.
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참고문헌 (19)
참고문헌 신청
R. B. Ash / 1971 / Complex Variables / Academic Press
D. C. Barnett / 2007 / Nevanlinna theory for the q-difference operator and meromorphic solutions of q-difference equations / Proc. Roy. Soc. Edinburgh Sect. A 137(3):457~474
Z. X. Chen / 2011 / Value distribution of products of meromorphic functions and their differ-ences / Taiwanese J. Math 15(4):1411~1421
Z. X. Chen / 2012 / Zeros of entire solutions to complex linear difference equations / Acta Math. Sci. Ser. B Engl. Ed 32(3):1141~1148
Z. X. Chen / 2011 / On properties of difference polynomials / Acta Math. Sci. Ser. B Engl. Ed 31(2):627~633
D. C. Barnett / 2007 / Nevanlinna theory for the q-difference operator and meromorphic solutions of q-difference equations / Proc. Roy. Soc. Edinburgh Sect. A 137(3):457~474
Z. X. Chen / 2011 / Value distribution of products of meromorphic functions and their differ-ences / Taiwanese J. Math 15(4):1411~1421
Z. X. Chen / 2012 / Zeros of entire solutions to complex linear difference equations / Acta Math. Sci. Ser. B Engl. Ed 32(3):1141~1148
Z. X. Chen / 2011 / On properties of difference polynomials / Acta Math. Sci. Ser. B Engl. Ed 31(2):627~633
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