Entire functions that share fixed-points.
Entire functions that share values or small functions with their derivatives
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.
Entire functions that share values with their derivatives.
Entire Functions with Maximum Deficiency Sum and their Means.
Entire solutions of q-difference equations and value distribution of q-difference polynomials
We investigate the existence and uniqueness of entire solutions of order zero of the nonlinear q-difference equation of the form fⁿ(z) + L(z) = p(z), where p(z) is a polynomial and L(z) is a linear differential-q-difference polynomial of f with small growth coefficients. We also study the zeros distribution of some special type of q-difference polynomials.
Entrire functions and their derivatives share two finite sets.
Erratum : A value-distribution criterion for the class and some related questions
Erratum to the paper "On the disc theorem" (Ann. Polon. Math. 55 (1991), 1-10)
Due to a technical error, part of a sentence was omitted on the top of page 8. The first line should read: “where , or , means the number of folds of the covering ending at p, i.e. covering a neighbourhood of p in without covering p itself”.
Erratum to "Unique range sets in positive characteristic" (Acta Arith. 103 (2002), 169-189)
Estimation of the hyper-order of entire solutions of complex linear ordinary differential equations whose coefficients are entire functions.
Exceptional sets, subordination, and functions of uniformly bounded characteristic.
Exceptional values of a meromorphic function and its derivatives
Exceptional Values of Entire and Meromorphic Functions.
Exceptional values of linear combinations of the derivatives of a meromorphic function
Exceptional values of meromorphic functions
Exceptional values of meromorphic functions and of their derivatives on annuli
This paper is devoted to exceptional values of meromorphic functions and of their derivatives on annuli. Some facts on exceptional values for meromorphic functions in the complex plane which were established by Singh, Gopalakrishna and Bhoosnurmath [Math. Ann. 191 (1971), 121-142, and Ann. Polon. Math. 35 (1977/78), 99-105] will be considered on annuli.
Exceptional Values of Solutions of Linear Differential Equations.
Existence of entire solutions of nonlinear difference equations
In this paper we obtain that there are no transcendental entire solutions with finite order of some nonlinear difference equations of different forms.
Extension and normality of meromorphic mappings into complex projective varieties
The purpose of this article is twofold. The first is to show a criterion for the normality of holomorphic mappings into Abelian varieties; an extension theorem for such mappings is also given. The second is to study the convergence of meromorphic mappings into complex projective varieties. We introduce the concept of d-convergence and give a criterion of d-normality of families of meromorphic mappings.
Extensions of Hiong's inequality.