On a problem in complex oscillation theory of periodic second order linear differential equations and some related perturbation results.
On a Problem of Best Uniform Approximation and a Polynomial Inequality of Visser
In this paper, a generalization of a result on the uniform best approximation of α cos nx + β sin nx by trigonometric polynomials of degree less than n is considered and its relationship with a well-known polynomial inequality of C. Visser is indicated.
On a question of Hong Xun Yi
In the paper we prove a uniqueness theorem for meromorphic functions which provides an answer to a question of H. X. Yi.
On a result of Ozawa and uniqueness of meromorphic function.
On a result of Tohge concerning the unicity of meromorphic functions.
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 a system of functional equations.
On a Theorem of Gross-Iversen Type on Riemann Surfaces.
On a Theorem of Gundersen and Laine.
On algebraic functions satisfying a class of functional equations.
On algebraic functions satisfying a class of functional equations. (Short Communication).
On an analytic approach to the Fatou conjecture
Let f be a quadratic map (more generally, , d > 1) of the complex plane. We give sufficient conditions for f to have no measurable invariant linefields on its Julia set. We also prove that if the series converges absolutely, then its sum is non-zero. In the proof we use analytic tools, such as integral and transfer (Ruelle-type) operators and approximation theorems.
On an entire function represented by multiple Dirichlet series
Consider the space of entire functions represented by multiple Dirichlet series that becomes a non uniformly convex Banach space which is also proved to be dense, countable and separable. Continuing further, for the given space the characterization of bounded linear transformations in terms of matrix and characterization of linear functional has been obtained.
On analytic and meromorphic functions satisfying nth order algebraic differential equations in regions of the plane.
On a-points of Entire and Meromorphic Functions
On Asymtotic Values of Meromorphic Functions.
On Bloch functions and gap series.
On Bloch functions and gap series.
Kennedy obtained sharp estimates of the growth of the Nevanlinna characteristic of the derivative of a function f analytic and with bounded characteristic in the unit disc. Actually, Kennedy's results are sharp even for VMOA functions. It is well known that any BMOA function is a Bloch function and any VMOA function belongs to the little Bloch space. In this paper we study the possibility of extending Kennedy's results to certain classes of Bloch functions. Also, we prove some more general results...
On Bloch functions and normal functions.
On BMO-type characteristics for one class of holomorphic functions in a disk.