Displaying similar documents to “Uniqueness theorems for entire functions whose difference polynomials share a meromorphic function of a smaller order”

Uniqueness theorems and normal families of entire functions and their derivatives

Feng Lü, Junfeng Xu, Hongxun Yi (2009)

Annales Polonici Mathematici

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We use the theory of normal families to obtain some uniqueness theorems for entire functions, which improve and generalize the related results of Rubel and Yang, and Li and Yi. Some examples are provided to show the sharpness of our results.

Entire functions that share values or small functions with their derivatives

Sheng Li, Zongsheng Gao, Jilong Zhang (2012)

Annales Polonici Mathematici

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We investigate the uniqueness of entire functions sharing values or small functions with their derivatives. One of our results gives a necessary condition on the Nevanlinna deficiency of the entire function f sharing one nonzero finite value CM with its derivative f'. Some applications of this result are provided. Finally, we prove some further results on small function sharing.

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.

Entire functions that share a function with their first and second derivatives

Feng Lü, Junfeng Xu (2012)

Annales Polonici Mathematici

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Applying the normal family theory and the theory of complex differential equations, we obtain a uniqueness theorem for entire functions that share a function with their first and second derivative, which generalizes several related results of G. Jank, E. Mues & L. Volkmann (1986), C. M. Chang & M. L. Fang (2002) and I. Lahiri & G. K. Ghosh (2009).

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.