Current Topics in Analytic Function Theory

by Srivastava, H. M.; Owa, Shigeyoshi

• ISBN13: 9789810209322
• ISBN10: 9810209320
• Format: Hardcover
• Copyright: 1993-01-01
• Publisher: World Scientific Pub Co Inc

Table of Contents

Preface
Univalent Logharmonic Extensions onto the Unit Disk or onto an Annulus	p. 1
Hadamard Products of Analytic Functions Defined by Ruscheweyh Derivatives	p. 13
Constraint Coefficient Problems for Subclasses of Univalent Functions	p. 29
A New Subclass of Analytic Functions with Negative Coefficients	p. 36
Hypergeometric Functions and Elliptic Integrals	p. 48
Some New Criteria for Meromorphically p-Valent Starlike Functions	p. 86
A Certain Class of Caratheodory Functions Defined by Conditions on the Unit Circle	p. 94
Some Properties of Analytic Functions of Koebe Type	p. 106
Some Families of Univalent and Starlike Integral Operators	p. 118
Univalence Domains	p. 130
Recent Advances in the Theory of Zero Sets of the Bergman Spaces	p. 139
Spherical Linear Invariance and Uniform Local Spherical Convexity	p. 148
A Special Differential Subordination and Its Application to Univalency Conditions	p. 171
Another Approach to Picard's Theorem and a Unifying Principle in Geometric Function Theory	p. 186
A Class of Bounded Starlike Functions	p. 201
A Certain Class of Starlike Functions	p. 206
On the Bernardi Integral Operator	p. 212
Ruscheweyh Derivatives and Some Classes of Univalent Functions	p. 220
The Quasi-Hadamard Products of Certain Analytic Functions	p. 234
Analytic Solutions of a Class of Briot-Bouquet Differential Equations	p. 252
A Class of Generalized Closed-to-Convex Functions	p. 260
The Starlikeness and Spiral-Convexity of Certain Subclasses of Analytic Functions	p. 266
Third-Order Differential Inequalities in the Complex Plane	p. 274
Certain Properties of Operators of Fractional Integration Associated with Mellin and Laplace Transformations	p. 291
A Certain Class of Multivalent Functions	p. 305
A Certain Class of p-Valent Functions with Negative Coefficients	p. 313
Convex Subfamilies of Schwarz Functions	p. 323
A Brief Overview of Subclasses of Spiral-Like Functions	p. 328
A Certain Class of Generalized Hypergeometric Functions Associated with the Hardy Space of Analytic Functions	p. 337
Geometric Properties of Functions Regular in a Half-Plane	p. 349
On the Coefficients of the Univalent Functions of the Nevalinna Classes N[subscript 1] and N[subscript 2]	p. 363
Certain Classes of Univalent Functions	p. 371
The Radii of Starlikeness and Convexity for Certain Multivalent Functions	p. 375
A Proof of Nunokawa's Conjecture for Starlikeness of p-Valently Analytic Functions	p. 387
Certain Subclasses of p-Valently Starlike Functions with Negative Coefficients	p. 393
The Distortion Function [Phi subscript K] and Quasihomographies	p. 403
The Class S(p) of Meromorphic Univalent Functions	p. 429
A Dynamical System Formed by a Set of Rational Functions	p. 437
An Invariant Measure for the Dynamical System Formed by a Set of Rational Functions	p. 450
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