CONTENTS -- Preface -- Complex Boundary Value Problems in a Quarter Plane -- 1. Introduction -- 2. The Dirichlet problem -- 3. The Neumann problem -- References -- Some Equations over 4-Dimensional Clifford Algebra -- 1. Introduction -- 2. The real matrix representation of elements in Cℓ0,3 -- 3. The Moore-Penrose inverse of elements in Cℓ0,3 -- 4. Linear equation ax = xb over Cℓ0,3 -- References -- A Change of Scale Formula for Wiener Integrals of Unbounded Functions over Wiener Paths in Abstract Wiener Space -- 1. Introduction and preliminaries -- 2. Wiener paths in abstract Wiener space -- 3. A change of scale formula over Wiener paths in abstract Wiener space -- 4. A change of scale formula on abstract Wiener space -- References -- The Complex Oscillation of Solutions for Differential Equations with Periodic Coefficients -- 1. Introduction and Preliminaries -- 2. Lemmas for Proof of Main Results -- 3. Main Results -- References -- Qp-Spaces: Generalizations to Bounded Symmetric Domains -- 1. Introduction -- 2. Bounded symmetric domains -- 3. Invariant differential operators -- 4. Bergman spaces and kernels -- 5. Peter-Weyl decomposition -- 6. Bloch spaces and Qv spaces on bounded symmetric domains -- 7. Example: the polydisc -- 8. Composition series -- 9. Results -- 10. Sketches of proofs -- 11. Open problems -- References -- Order of Growth of Painlevé Transcendents -- 1. Introduction -- 2. Short proof of Theorem 1.1 -- References -- Uniqueness of Meromorphic Functions that Share Four Values -- 1. Problem "1CM+3IM=4CM" and Gundersen's Question -- 2. Some Auxiliary Functions -- 3. A Branch of √φ and its Characteristic Function -- 4. The Power Expansions of σ at Zeros, 1-Points, and c-Points of f -- 5. Jensen's Formula for F(σ).

6. Some Results on the Uniqueness of Meromorphic Functions that Share Four values -- References -- On Two Perturbation Results of Second Order Linear Differential Equations with Periodic Coefficients -- 1. Introduction -- 2. Main results -- 3. Preliminaries for the proofs of the main results -- 4. Proof of Theorem 1 -- 5. Proof of Theorem 2 -- References -- A Remark on Holomorphic Sections of Certain Holomorphic Families of Riemann Surfaces -- 1. Introduction -- 2. Construction of a certain holomorphic family (M,π,R) of Riemann surfaces -- 3. Defining equations for (M,π,R) -- 4. Holomorphic sections (M,π,R) -- 5. Injectivity of the moduli map J of (M,π,R) -- References -- α-Asymptotically Conformal Fixed Points and Holomorphic Motions -- 1. Introduction -- 2. Holomorphic Motions and Quasiconformal Maps -- 3. α-Asymptotically conformal fixed points -- 4. Linearization for α-asymptotically conformal attracting or repelling fixed points -- 5. Normal forms for α-asymptotically conformal super-attracting fixed points -- References -- The Hyper-Order of Solutions of Certain High Order Differential Equations -- 1. Lemmas -- 2. Proof of Theorem 1 -- References -- Sharing Values and Normal Families -- 1. Introduction and results -- 2. Some lemmas -- 3. Proof of Theorem 1 -- 4. Proof of Theorem 2 -- References -- The Bloch Type Spaces via the Cesàro Means -- 1. Introduction -- 2. Preliminaries -- 3. The Proof of the Main Theorem -- References -- Uniqueness of Meromorphic Functions Concerning Weakly Weighted-Sharing -- 1. Introduction and Main Results -- 2. Some Lemmas -- 3. Proofs of Main Theorems -- References -- Uniqueness Theory of Meromorphic Functions in an Angular Domain -- 1. Introduction and Main Results -- 2. Some Lemmas -- 3. Proof of Theorems -- References.

The Convergence of Laplace-Stieltjes Transforms -- 1. Introduction -- 2. Main Results -- References -- A New Decomposition for the Hardy Space on Domains -- 1. Introduction -- 2. Theorem and its Proof -- References -- Transversality on Coordinated Manifolds -- 1. Introduction -- 2. Transversal Maps -- 3. Transversal Submanifolds -- 4. Examples -- References -- On Logarithmic (α,β)-Bloch Spaces -- 1. Introduction -- 2. The coefficients of logB(α,β) functions -- 3. logB(α,β) space and Cesàro means -- References -- Infinite Series in Japanese Mathematics of the 18th Century -- 1. Takebe Katahiro -- 2. Takebe's Infinite Series Expansion -- 3. Squared Half Back Arc and Sagitta -- 4. Numerical Method to Find the Infinite Series Expansion -- 5. Approximation Formulas by Interpolation -- 6. Algebraic Method to Find the Infinite Series Expansion -- 7. Counting Board Algebra and Generalized Division -- 8. The Taylor Expansion Formula in Japanese Mathematics -- 9. Taking the Limit -- 10. The Sanreki Zakkō -- References -- Meromorphic Functions that Share Four Small Functions -- 1. Introduction and Main Results -- 2. Some Lemmas -- 3. Proof of Theorem -- References -- Integration Operators on the BMOA Type Spaces -- 1. Introduction -- 2. The boundedness and compactness of IΦ on Bα -- 3. The boundedness of JΦ and IΦ on BMOAα -- 3. The boundedness of JΦ and IΦ on BMOAα -- References -- The Growth of Analytic Functions of Infinite Order Represented by Laplace-Stieltjes Transformations -- 1. Introduction -- 2. Main Results -- References -- On T-direction of Meromorphic Function -- 1. Introduction and results -- 2. Lemmas -- 3. Proof of theorem -- References -- On Nevanlinna Type Classes -- 1. Introduction -- 2. Preliminaries -- 3. Main Results -- References -- Fredholm Module and Cauchy Integral Operator -- 1. Introduction.

2. Fredholm Module -- 3. Predholm Module of Cauchy Integral Operators -- References -- On ψ-Modulus and ψ-Capacities Equalities in Metric Measure Spaces -- 1. Introduction -- 2. Preliminaries and lemmas -- 3. The concepts of ψ-modulus and ψ-capacities and Theorem 1 -- 4. Main theorems and their proofs -- References -- A Criterion of Bloch Functions and Little Bloch Functions -- References -- Some Results of Uniqueness for Algebroid Functions -- References -- On Non-Existence of Teichmüller Extremal -- 1. Introduction -- 2. Delta inequalities -- 3. Proof of Theorem 1 -- 4. Proof of Theorem 2 -- References -- Two Meromorphic Functions Sharing Four Small Functions in the Sense of EK)(β,F) = EK)(β,G) -- 1. Introduction and Main Result -- 2. Some Lemmas and Notations -- 3. Proof of Theorem 1 -- References -- Multiplication Operators in the α-Bloch Spaces -- 1. Introduction -- 2. Some lemmas -- 3. The main theorems -- References -- An Improved Inequality for Meromorphic Functions with Few Simple Zeros -- 1. Main Results -- 2. Some Lemmas -- 3. Proof of Theorem 1 -- References -- The Möbius Invariance of Besov Spaces on the Unit Ball of Cn -- 1. Introduction -- 2. The automorphism group -- 3. Möbius invariance of Bp -- References.