Uniqueness Theory of Meromorphic Functions

By Ajweezi. aljali, Hong-Xun Yi. 2004

1,565 citations recorded by the source corpus.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/1de0bda63aad44056ce2c77257b67e804745897b

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In Applied Mathematics

1. Zong-Xuan Chen
2. Ting-Bin Cao
3. Kai Liu
4. R. Korhonen
5. Lian-Zhong Yang
6. Jilong Zhang
7. X. Zheng
8. I. Laine

Citations in the corpus

• On Entire Solutions of Some Differential-Difference Equations (2013, background): “Nevanlinna theory will play an important role in this paper, we assume that the reader is familiarwith standard symbols and fundamental results ofNevanlinnaTheory [10,20].”
• FIXED POINTS OF MEROMORPHIC SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS (2006, neutral): “Nevanlinna’s theory of meromorphic functions (see [4], [13], [12], [8]).”
• Some properties of meromorphic solutions of q-difference equations☆ (2010, background): “(see Hayman [13], Yang [25] and Yi and Yang [26]).”
• Value distribution of the difference operator (2009, background): “In what follows, we assume that the reader is familiar with the usual notation of Nevanlinna theory [11, 13].”
• Some results related to a conjecture of R. Brück concerning meromorphic functions sharing one small function with their derivatives (2007, neutral): “It is assumed that the reader is familiar with the standard symbols and fundamental results of Nevanlinna theory, as found in [5] and [14].”
• Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity (2009, background): “As for the extensive theory of uniqueness of meromorphic functions, see [19].”
• On Sharing Values of Meromorphic Functions and Their Differences (2013, background): “Finally, σ2(f) denotes hyper-order (see [16]) of f which is defined by”
• A new version of the second main theorem for meromorphic mappings intersecting hyperplanes in several complex variables (2016, background): “For basic results in the uniqueness theory of meromorphic functions and mappings, we refer to two books [24, 25].”