本书选编了任福尧教授各个时期发表的多篇数学论文，内容涉及几何函数论、复动力系统、分形几何、Hp空间理论、流体管路传输理论、奇异扩散过程等。任福尧教授是我国函数论方面的研究专家之一，具有丰富的理论水平和实践经验。本书中所收集的论文基本上能够反映任福尧教授的学术贡献，具有相当的文献价值。本书对于从事函数论及相关方面理论研究和实际应用的学者是一本很好的参考读物。

开拓戈鲁辛和夏尔绳斯基的几个定理
On the Functions of Bieberbach and of Lebedev-Milin
具有无界型特征的拟似共形映照的存在性定理
无界的广义拟共形映照的孤立奇点
流体瞬态理论在双风机并联运行管系中的应用
单叶亚纯函数的系数
在第三项系数限制下单叶函数的Bieberbach猜测
压力阶跃在复杂管系中的传输
单叶半纯函数之逆函数的系数
The Distortion Theorems for Bieberbach Class and Grunsky Class of
Univalent Functions
关于具有拟共形扩张的比伯霸赫函数族
Stronger Distortion Theorems of Univalent Functions and Its
Applications
Conformal Mapping of Non-overlapping Domain with Quasiconformal
Extension
关于串联式管系共振脉冲射流的瞬态特性
关于Teichmiuller极值拟共形映照的三个Reich猜想
Extension of a Theorem of Carleson-Duren
Some Inequalities on Quasi—subordinate Functions
A Dynamical System Formed by a Set of Rational Functions
超越函数随机迭代系统的Julia集
H。Multipliers on Bounded Symmetric Domains
On Taylor’S Conjecture about the Packing Measures of Cartesian
Product Sets
Quasiconformal Extension of Biholomorphic Mappings of Several
Complex Variables
Bounded Proj ections and Duality on Spaces of Holomorphic Functions
in the Unit Ball of C
I.ocal Fractional Brownian Motions and Gaussian Noises and
Application
Fractional Integral Associated to the Self—similar Set or the Generalized
Self-similar Set and Its Physical Interpretation
The Relationship between the Fractional Integral and the Fractal Structure
of a Memory Set
Dynamics of Periodically Random Orbits
The Determination of the Diffusion Kernel on Fractals and Fractional
Diffusion Equation for Transport Phenomena in Random Media
Determination of Memory Function and Flux on Fractals
An Anomalous Diffusion Modelin an External Force Fields on
Fractals
Integrals and Derivatives on Net Fractals
Universality of Stretched Gaussian Asymptotic Behaviour for the Fractional Fokker——Planck Equation in External Force Fields
Answer to an Open Problem Proposed by E Barkai and J Klafter
Answer to an Open Problem Proposed by R Metzler and J Klafter
Fractional Nonlinear Diffusion Equation and First Passage Time
Generalized Einstein Relation and the Metzler—Klafter Conjecture i a Composite—subdiffusive Regime
Continuous Time Black—Scholes Equation with Transaction Costs in Subdiffusive Fractional Brownian Motion Regime
Heterogeneous Memorized Continuous Time Random Walks in an
External Force Fields
Elfect of Different Waiting Time Processes with Memory to Anomalous
Diffusion Dynamics in an External Force Field
附录一任福尧教授论著目录
附录二任福尧教授指导的学生和博士后