Proceedings of an International Conference on New Trends in Geometric Function Theory and Applications: in honour of Professor K.S. Padmanabhan

Cover......Page 1
Title: New Trends in Geometric Function Theory and Applications......Page 2
ISBN 981-02-0482-5......Page 3
Editorial Note......Page 4
Professor K.S. PADMANABHAN, M.A., M.Sc., Ph.D.......Page 5
Photo of Prof. K.S. Padmanabhan......Page 6
Publications List of Padmanabhan......Page 7
International Conferenceon New Trends in Geometric Function Theory and Applications......Page 10
Photo of The Chairman and the Convenor......Page 11
Sponsors......Page 12
Photo of Honourable Minister Prof. M.G.K. Menoninaugurates the conference......Page 13
Academic Programme......Page 14
List of Participants......Page 19
CONTENTS......Page 24
2. Preliminaries......Page 26
3. Functions of bounded argwnent rotation......Page 27
4. Mocanu convexity of Rk [A, B] and Vk [A, B]......Page 30
5. Functions of generalized bounded argument rotation......Page 32
References......Page 34
1. Introduction......Page 35
2. The class Sigma(n; a; h)......Page 36
3. The Class C* (n; a, h)......Page 39
4. The Class '\Sigma alpha  (n; a, h)......Page 41
References......Page 42
2. Preliminaries......Page 43
3. Main Results......Page 45
References......Page 49
On Properties of Polynomials of Special Types......Page 51
References......Page 53
1. Introduction......Page 54
References......Page 58
1. Introduction......Page 59
2. Inclusion Properties......Page 61
3. Behaviour under various operators......Page 63
References......Page 65
1. Introduction......Page 67
References......Page 70
1. Introduction......Page 71
3. Converting hyperbolically k-convex functions into euclidean Convex functions......Page 72
4. Distortion and growth theorems......Page 73
6. Spherical k ·convexity......Page 77
References......Page 78
On Integral Transfonns of Jakubowski Functions......Page 80
References......Page 81
Diff (Circle) and the Teichmiiller Spaces : A Connection Via String Theory......Page 82
References......Page 84
1. Introduction......Page 85
2. Some Preliminary Lemmas......Page 86
3. Some basic results in M£' (a, ~' b, c, a>......Page 88
References......Page 90
2. Preliminary Results......Page 91
3. Main Results......Page 92
References......Page 99
Study ofRuscheweyh Integral Operators on certain classes of Meromorphic Functions......Page 100
References......Page 105
2. Preliminaries......Page 106
3. Differential Inequalities......Page 107
4. Integral Inequalities......Page 112
References......Page 114
A Generalization of a Theorem of W .B. Ford......Page 115
References......Page 120
I. Introduction and statement of the results......Page 121
II. Proofs of Theorems 1 and 3......Page 124
III. The Applications......Page 125
References......Page 127
2. Some Properties of the Class Sp (a)......Page 128
3. A Subclass Fp, b (a.)......Page 130
4. Generalization of Saitoh's Result......Page 132
References......Page 133
1. Introduction......Page 134
2. The harmonic classes S_h and S^o.......Page 135
3. Some basic differences between the classes SHandS.......Page 136
4. Mapping Theorems and boundary behaviour......Page 137
5. The classes of univalent harmonic mappings between canonical regions......Page 138
7. Application to minimal surfaces......Page 139
References......Page 140
1. Introduction......Page 141
2. The Family T......Page 142
3. Positive Order......Page 146
References......Page 148
1. Introduction and statement of results......Page 150
2. Some Preliminary Results......Page 155
4. Proof of Theorem 2......Page 157
6. Proof of Theorem 4......Page 159
References......Page 160
1. Extreme Points......Page 161
2. Support Points......Page 163
References......Page 164
1. Introduction......Page 165
2. The classes R (k, A, B) and lE (k, A, B)......Page 166
3. The classes M* (k, A, B) and lMI* (k, A, B)......Page 168
References......Page 170
Known Results......Page 171
New Results......Page 173
COUNI'ER EXAMPLES......Page 181
SOME OPEN PROBLEMS......Page 182
References......Page 183
Main Results......Page 184
References......Page 186
T. BULBOACA, Romania......Page 187
S.OWA, Japan.......Page 188
R. PARVATHAM, India......Page 189
Prem SINGH, India.......Page 190
D.K. THOMAS, U.K.......Page 191