Meromorphic solutions of some complex difference equations.
Huang, Zhi-Bo, Chen, Zong-Xuan (2009)
Advances in Difference Equations [electronic only]
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Huang, Zhi-Bo, Chen, Zong-Xuan (2009)
Advances in Difference Equations [electronic only]
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Liu, Mingsheng, Zhang, Xiaomei (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Fowler, K.E., Sons, L.R. (2006)
International Journal of Mathematics and Mathematical Sciences
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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.
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.
Benharrat Belaïdi (2011)
Publications de l'Institut Mathématique
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Lahiri, Indrajit, Banerjee, Abhijit (2004)
Portugaliae Mathematica. Nova Série
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Salmassi, Mohammad (1983)
International Journal of Mathematics and Mathematical Sciences
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Halburd, R.G., Korhonen, R.J. (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Yong Liu, Hongxun Yi (2013)
Annales Polonici Mathematici
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El Farissi, A., Belaidi, B. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Xuan, Zu-Xing (2009)
Journal of Inequalities and Applications [electronic only]
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Xu, Hong-Yan (2007)
International Journal of Mathematics and Mathematical Sciences
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Indrajit Lahiri (1999)
Annales Polonici Mathematici
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We prove a uniqueness theorem for meromorphic functions involving linear differential polynomials generated by them. As consequences of the main result we improve some previous results.