Research Article
Year 2007,
Volume: 36 Issue: 1, 7 - 10, 01.01.2007
Abstract
References
- Miller, S. S. and Mocanu, P. T. Differential Subordinations. Theory and Applications (Marcel Dekker Inc., New York, Basel, 2000).
- Oros, Gh. I. On a differential inequality II, General Mathematics 10 (1-2), 33–36, 2002.
- Oros, Gh. I. and C˘ata¸s, A. A new differential inequality I, General Mathematics 11 (1-2), 47–52, 2003.
Year 2007,
Volume: 36 Issue: 1, 7 - 10, 01.01.2007
Abstract
We find conditions on the complex-valued function A : U → C defined
in the unit disc U such that the differential inequality
Re [A(z)p
2
(z) − α(zp
0
(z) − 1)2 + 2β(zp
0
(z))2 + γ] > 0
implies Re p(z) > 0, where p ∈ H[1, n], α, β ∈ C and n is a positive
integer.
Keywords
References
- Miller, S. S. and Mocanu, P. T. Differential Subordinations. Theory and Applications (Marcel Dekker Inc., New York, Basel, 2000).
- Oros, Gh. I. On a differential inequality II, General Mathematics 10 (1-2), 33–36, 2002.
- Oros, Gh. I. and C˘ata¸s, A. A new differential inequality I, General Mathematics 11 (1-2), 47–52, 2003.
There are 3 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Statistics |
| Journal Section | Mathematics |
| Authors | |
| Publication Date | January 1, 2007 |
| Published in Issue | Year 2007 Volume: 36 Issue: 1 |