Nevanlinna's five-value theorem for algebroid functions

Titchmarsh theorem for Jacobi Dini-Lipshitz functions

Our aim in this paper is to prove an analog of Younis's Theorem on the image under the Jacobi transform of a class functions satisfying a generalized Dini-Lipschitz condition in the space $mathrm{L}_{(alpha,beta)}^{p}(mathbb{R}^{+})$, $(1< pleq 2)$. It is a version of Titchmarsh's theorem on the description of the image under the Fourier transform of a class of functions satisfying the Dini-Lip...

Unicity Theorem for Algebroid Functions Related to Multiple Values and Derivatives on Annuli

In this paper, we first obtain Xiong inequality of algebroid function on annuli and using this result we prove uniqueness theorem of algebroid functions on annuli concerning to their multiple values and derivative.

titchmarsh theorem for jacobi dini-lipshitz functions

our aim in this paper is to prove an analog of younis's theorem on the image under the jacobi transform of a class functions satisfying a generalized dini-lipschitz condition in the space $mathrm{l}_{(alpha,beta)}^{p}(mathbb{r}^{+})$, $(1< pleq 2)$. it is a version of titchmarsh's theorem on the description of the image under the fourier transform of a class of functions satisfying the dini-lip...

Generation of the Ahlfors Five Islands Theorem

Five-value rich lines‎, ‎Borel directions and uniqueness of meromorphic functions

For a meromorphic function $f$ in the complex plane, we shall introduce the definition of five-value rich line of $f$, and study the uniqueness of meromorphic functions of finite order in an angular domain by involving the five-value rich line and Borel directions. Finally, the relationship between a five-value rich line and a Borel direction is discussed, that is, every Borel direction of $f$ ...