亚纯函数与其q阶差分分担公共值问题的研究

Abstract

Abstract:

This research is a continuation of a recent paper [15]. Shared value problems related to a meromorphic function
f(z) and its q-difference operator Δ_q, _cf are studied. It is shown, for instance, that if f(z) is of zero order and shares four values IM with its q-difference operator Δ_q, _cf = f(qz+c)-f(z), then f(z)=Δ_{q, c}f. Moreover, we also consider problems on sharing values of f(z) and Δ_q, _cf when their orders are not an integer or infinite.

Key words: q-Shift difference, Meromorphic functions, Nevanlinna theory, Sharing value

CLC Number:

30D35

QI Xiao-Guang, YANG Lian-Zhong. Value Sharing for a Meromorphic Function with Its q-Shift Difference[J].Acta mathematica scientia,Series A, 2014, 34(6): 1372-1380.

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References

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Value Sharing for a Meromorphic Function with Its q-Shift Difference

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