On the growth of meromorphic solutions of linear and algebraic differential equations.
Ilpo Laine, Steven Bank (1977)
Mathematica Scandinavica
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Ilpo Laine, Steven Bank (1977)
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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Gregory V. Choodnovsky (1977-1978)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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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.
C.L. Childress, G.L. Csordas (1978)
Mathematica Scandinavica
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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...
Nan Wu, Jian Hua Zheng (2015)
Annales Polonici Mathematici
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We investigate how the growth of an algebroid function could be affected by the distribution of the arguments of its a-points in the complex plane. We give estimates of the growth order of an algebroid function with radially distributed values, which are counterparts of results for meromorphic functions with radially distributed values.
Sanjib Kumar Datta, Tanmay Biswas, Ahsanul Hoque (2015)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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In this paper we study the comparative growth properties of a composition of entire and meromorphic functions on the basis of the relative order (relative lower order) of Wronskians generated by entire and meromorphic functions.
Domínguez, Patricia (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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S.B. Bank, R.R Kaufman (1979)
Mathematische Annalen
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El Farissi, A., Belaidi, B. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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