Displaying similar documents to “Further extending results of some classes of complex difference and functional equations.”

Meromorphic functions of infinite order in the angular domain

Jun-Fan Chen (2012)

Open Mathematics

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We investigate the value distribution of meromorphic functions in the angular domain. In particular, we show a close relationship between radially distributed values and Borel directions of transcendental meromorphic functions of infinite order in some angular domains.

Some properties of solutions of complex q-shift difference equations

Hong-Yan Xu, Jin Tu, Xiu-Min Zheng (2013)

Annales Polonici Mathematici

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Combining difference and q-difference equations, we study the properties of meromorphic solutions of q-shift difference equations from the point of view of value distribution. We obtain lower bounds for the Nevanlinna lower order for meromorphic solutions of such equations. Our results improve and extend previous theorems by Zheng and Chen and by Liu and Qi. Some examples are also given to illustrate our results.