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Some further results on meromorphic functions that share two sets

Qi Han, Hong-Xun Yi (2008)

Annales Polonici Mathematici

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 E 3 ) ( S , f ) = E 3 ) ( S , g ) 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 Growth and Distortion Theorems for Close-to-Convex Harmonic Functions in the Unit Disc

Polatoğlu, Yaşar (2010)

Fractional Calculus and Applied Analysis

MSC 2010: 30C45, 30C55One of the most important questions in the study of the classes of such functions is related to bounds on the modulus of functions (growth) or modulus of the derivative (distortion). The aim of this paper is to give the growth and distortion theorems for the close-to-convex harmonic functions in the open unit disc D.

Some Hilbert spaces related with the Dirichlet space

Nicola Arcozzi, Pavel Mozolyako, Karl-Mikael Perfekt, Stefan Richter, Giulia Sarfatti (2016)

Concrete Operators

We study the reproducing kernel Hilbert space with kernel kd , where d is a positive integer and k is the reproducing kernel of the analytic Dirichlet space.

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