Meromorphic solutions of some complex difference equations.
Multisoliton formula for completely integrable two-dimensional systems
Non-constant meromorphic functions and sequences of arcs.
Normal families of bicomplex meromorphic functions
We introduce the extended bicomplex plane 𝕋̅, its geometric model: the bicomplex Riemann sphere, and the bicomplex chordal metric that enables us to talk about convergence of sequences of bicomplex meromorphic functions. Hence the concept of normality of a family of bicomplex meromorphic functions on bicomplex domains emerges. Besides obtaining a normality criterion for such families, the bicomplex analog of the Montel theorem for meromorphic functions and the fundamental normality tests for families...
On a functional equation. (Short Communication).
On a kth-order differential equation
We prove a theorem on the growth of a solution of a kth-order linear differential equation. From this we obtain some uniqueness theorems. Our results improve several known results. Some examples show that the results are best possible.
On a meromorphic function having few poles but not tending to infinity along a path
On a metrical theorem in geometry of circles
On a noncommutative algebraic geometry
Several sets of quaternionic functions are described and studied with respect to hyperholomorphy, addition and (non-commutative) multiplication, on open sets of ℍ, then Hamilton 4-manifolds analogous to Riemann surfaces, for ℍ instead of ℂ, are defined, and so begin to describe a class of four-dimensional manifolds.
On a result of Zhang and Xu concerning their open problem
The motivation of this paper is to study the uniqueness of meromorphic functions sharing a nonzero polynomial with the help of the idea of normal family. The result of the paper improves and generalizes the recent result due to Zhang and Xu [24]. Our another remarkable aim is to solve an open problem as posed in the last section of [24].
On algebraic functions satisfying a class of functional equations.
On algebraic functions satisfying a class of functional equations. (Short Communication).
On Asymtotic Values of Meromorphic Functions.
On BMO-type characteristics for one class of holomorphic functions in a disk.
On certain meromorphic functions with positive coefficients.
On composition of meromorphic functions in several complex variables.
On connectivity of Julia sets of transcendental meromorphic maps and weakly repelling fixed points II
Following the attracting and preperiodic cases, in this paper we prove the existence of weakly repelling fixed points for transcendental meromorphic maps, provided that their Fatou set contains a multiply connected parabolic basin. We use quasi-conformal surgery and virtually repelling fixed point techniques.
On Deficient Values of Meromorphic Functions Satisfying a Certain Functional Equation II
On deviations from rational functions of entire functions of finite lower order
Let f be a transcendental entire function of finite lower order, and let be rational functions. For 0 < γ < ∞ let B(γ):= πγ/sinπγ if γ ≤ 0.5, B(γ):= πγ if γ > 0.5. We estimate the upper and lower logarithmic density of the set .
On Kurepa's problems in number theory.