4. Starlike and Convex Functions

Kapitel in diesem Buch

1. Frontmatter I
2. Preface V
3. Contents VII
4. List of Symbols XI
5. 1. Univalent Functions – the Elementary Theory 1
6. 2. Definitions of Major Subclasses 13
7. 3. Fundamental Lemmas 22
8. 4. Starlike and Convex Functions 37
9. 5. Starlike and Convex Functions of Order α 65
10. 6. Strongly Starlike and Convex Functions 83
11. 7. Alpha-Convex Functions 99
12. 8. Gamma-Starlike Functions 112
13. 9. Close-to-Convex Functions 121
14. 10. Bazilevič Functions 153
15. 11. B₁(α) Bazilevič Functions 165
16. 12. The Class U(λ) 179
17. 13. Convolutions 195
18. 14. Meromorphic Univalent Functions 205
19. 15. Loewner Theory 215
20. 16. Other Topics 224
21. 17. Open Problems 235
22. Concluding Remarks 238
23. Bibliography 239
24. Index 250