《变换的增长性与复函数的奇异方向》以作者孔荫莹和洪勇的研究工作为基础，前两章主要介绍关于Laplace—Stieltjes变换增长性的研究工作，中间两亨讨论了复函数奇异方向的研究工作，都有很重要的意义。最后一章介绍Dirichlet级数最新的研究成果，有很大的研究价值。本书为有志探讨单复变函数值分布理论，尤其是Dirichlet级数的学者提供了一个新的参考和一个新的研究途径。凡具备“复变函数”和“实变函数”等大学本科知识的读者，都可以读懂本书。

序

Preface

Chapter 1 On the growth of the Laplace-Stieltjes transform convergent in the complex plane

1.1 Entire functions represented by L-S transform

1.2 On orders and types of L-S transform convergent in the complex plane

1.3 On Type-function of L-S transform convergent in the complex plane

1.4 Abscissas of convergence of L-S transform independent of { An }

Chapter 2 On the growth of the Laplace-Stieltjes transform convergent in the right half plane

2.1 On Type-function of L-S transform convergent in the right half-plane

2.2 On the growth of zero order L-S transform convergent in the right half-plane

2.3 The L-S transform convergent in the right half-plane and its relative transform

2.4 The value distribution of the L-S transform convergent in the fight half-plane

Chapter 3 Singular directions of quasimeromorphic mappings

3.1 Introduction and some definitions

3.2 A singular direction of quasimeromorphie mappings on some Type-functions in the complex plane

3.3 A singular radius of quasimeromorphic mappings on some Type-functions in the unit disc

3.4 On the filling discs in Borel radius of quasimeromorphic mapping in the unit disc

3.5 On Nevanlinna direction and Julia direction of quasimeromorphic mappings

Chapter 4 The growth of algehroidal functions

4.1 Introduction of algebroidal functions

4.2 A connection between the Nevanlinna characteristic function and-the maximum modulus of algebroidal functions

4.3 Some properties of algebroidal function

4.4  On filling discs in the strong Borel direction of the algebroidal function with finite order

4.5  On T-radius of algebroidal function in the unit disc

4.6  Algebroidal function and its derivate function in the unit disc

4.7  Normality criteria for families of algebroidal functions

Chapter 5 Some new studies of Diriehlet series and random Diriehlet series

5.1 Introduction and background

5.2 On orders and types of Dirichlet series of slow growth

5.3 On orders and types of random Dirichlet series of slow growth

5.4 On the distribution of random Dirichlet series in the whole plane

5.5 Pits on some entire functions defined by. Dirichlet series

5.6 On some q-orders and q-types of Dirichlet-Hadamard product function

Bibliography

Index

后记