On the growth of algebroid solutions of algebraic differential equations.
Ilpo Laine, He Yuzan (1986)
Mathematica Scandinavica
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Ilpo Laine, He Yuzan (1986)
Mathematica Scandinavica
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Li Kam Shun, Chan Wai Leung (1992)
Mathematica Scandinavica
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Ilpo Laine, Gary G. Gundersen (1990)
Mathematica Scandinavica
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Olli LEHTO (1953)
Mathematica Scandinavica
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H.S. Gopalakrishna, S.S. Bhoosnurmath (1976)
Mathematica Scandinavica
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C.L. Childress, G.L. Csordas (1978)
Mathematica Scandinavica
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Habib Habib, Benharrat Belaïdi (2013)
Annales Polonici Mathematici
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We investigate the growth and fixed points of meromorphic solutions of higher order linear differential equations with meromorphic coefficients and their derivatives. Our results extend the previous results due to Peng and Chen.
Si Duc Quang (2013)
Annales Polonici Mathematici
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We study algebraic dependences of three meromorphic mappings which share few moving hyperplanes without counting multiplicity.
Ran Ran Zhang, Zong Xuan Chen (2010)
Annales Polonici Mathematici
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We investigate the growth and Borel exceptional values of meromorphic solutions of the Riccati differential equation w' = a(z) + b(z)w + w², where a(z) and b(z) are meromorphic functions. In particular, we correct a result of E. Hille [Ordinary Differential Equations in the Complex Domain, 1976] and get a precise estimate on the growth order of the transcendental meromorphic solution w(z); and if at least one of a(z) and b(z) is non-constant, then we...
Domínguez, Patricia (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Gregory V. Choodnovsky (1977-1978)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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I. Lahiri (1989)
Matematički Vesnik
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S. K. Bajpai, T. J. S. Mehrok (1975)
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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H. S. Gopalakrishna, Subhas S. Bhoosnurmath (1976)
Annales Polonici Mathematici
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Xiao-Min Li, Hong-Xun Yi (2010)
Annales Polonici Mathematici
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We prove some uniqueness theorems for meromorphic functions and their derivatives that share a meromorphic function whose order is less than those of the above meromorphic functions. The results in this paper improve those given by G. G. Gundersen & L. Z. Yang, J. P. Wang, J. M. Chang & Y. Z. Zhu, and others. Some examples are provided to show that our results are the best possible.