Sectorial oscillation of linear differential equations and iterated order.
Selected results of the theory of value distribution and growth of meromorphic functions
The paper discusses development of the theory of value distribution and growth of meromorphic functions, focusing on two basic notions: exceptional values and asymptotic values. Some historical context is given and contemporary achievements are presented. In particular, recent results concerning exceptional functions and asymptotic functions are considered.
Solutions of that have almost all real zeros.
Solutions of non-homogeneous linear differential equations in the unit disc
The main purpose of this paper is to consider the analytic solutions of the non-homogeneous linear differential equation , where all coefficients , F ≢ 0 are analytic functions in the unit disc = z∈ℂ: |z|<1. We obtain some results classifying the growth of finite iterated order solutions in terms of the coefficients with finite iterated type. The convergence exponents of zeros and fixed points of solutions are also investigated.
Some applications of Nevanlinna theory to entire functions that share a small function with two difference operators
In this work, we are implementing some applications of Nevanlinna theory to entire functions that share a small function with two difference operators and we also generalize one of the results in the paper [3].
Some Further Results on a Question of Yi
Some further results on meromorphic functions that share two sets
This paper concerns the uniqueness of meromorphic functions and shows that there exists a set S ⊂ ℂ of eight elements such that any two nonconstant meromorphic functions f and g in the open complex plane ℂ satisfying and Ē(∞,f) = Ē(∞,g) are identical, which improves a result of H. X. Yi. Also, some other related results are obtained, which generalize the results of G. Frank, E. Mues, M. Reinders, C. C. Yang, H. X. Yi, P. Li, M. L. Fang and H. Guo, and others.
Some normality criteria.
Some precise estimates of the hyper order of solutions of some complex linear differential equations.
Some properties of solutions of complex q-shift difference equations
Combining difference and q-difference equations, we study the properties of meromorphic solutions of q-shift difference equations from the point of view of value distribution. We obtain lower bounds for the Nevanlinna lower order for meromorphic solutions of such equations. Our results improve and extend previous theorems by Zheng and Chen and by Liu and Qi. Some examples are also given to illustrate our results.
Some Remarks On Point Picard Sets For Entire Functions
Some remarks on the Nevanlinna theory of holomorphic mappings of Riemann surfaces
Some results about the size of the exceptional set in Nevanlinna's second fundamental theorem.
Some Results on Hypertranscendental Meromorphic Functions.
Some results on the complex oscillation theory of differential equations with polynomial coefficients.
Some results on the complex oscillation theory of some differential polynomials.
Some results on the growth properties of Wronskians
The aim of this paper paper is to study the comparative growth properties of the composition of entire and meromorphic functions and wronskians generated by them improving some earlier results.
Some Results on the Properties of Differential Polynomials Generated by Solutionsof Complex Differential Equations
This paper is devoted to considering the complex oscillation of differential polynomials generated by meromorphic solutions of the differential equation where
Some results on value distribution of meromorphic functions.
Some results related to a conjecture of R. Brück.