Titlebook: Value Distribution of Meromorphic Functions; Jianhua Zheng Book 2011 Springer-Verlag Berlin Heidelberg 2011 Deficient Values and Singular

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The Potential Theory in Value Distribution, This reveals an approach of that some problems of value distribution of meromorphic functions are transferred to those of subharmonic functions. Finally, we make a simple survey on recent development and some related results of the Nevanlinna’s conjecture.

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Meromorphic Functions in a new aspect."Value Distribution of Meromorphic Functions" focuses on functions meromorphic in an angle or on the complex plane, T directions, deficient values, singular values, potential theory in value distribution and the proof of the celebrated Nevanlinna conjecture. The

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Preliminaries of Real Functions,e. They are real-valued functions defined on the positive real axis. In this chapter, we discuss certain properties of such real functions for application in later chapters. We begin with the order and the lower order of such functions which include the proximate order and the type function. We disc

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Characteristics of a Meromorphic Function,this chapter, we introduce the Nevanlinna’s characteristic in a domain (especially in a disk centered at the origin), the Nevanlinna’s characteristic in an angle and the Tsuji’s characteristic in terms of the generalized Poisson formula, Carleman formula and Levin formula respectively. These formula

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薄荷醇

Singular Values of Meromorphic Functions,h the inverse of the function contains a multiple-valued branch. A value is a singular value if and only if it is an asymptotic value or a critical value. We show the construction of the parabolic simply connected Riemann surface associated with a fixed meromorphic function, and point out that every