Displaying similar documents to “Borel's Theorem on a-points and exceptional values of Entire and Meromorphic Functions.”

Comparative growth analysis of Wronskians in the light of their relative orders

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.

On meromorphic solutions of the Riccati differential equations

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...

Hyper-order and order of meromorphic functions sharing functions

Jianming Qi, Wenjun Yuan, Hongxun Yi (2015)

Annales Polonici Mathematici

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In this paper we mainly estimate the hyper-order of an entire function which shares one function with its derivatives. Some examples are given to show that the conclusions are meaningful.