- All Journals
- Al-Qadisiyah University
- Basrah University
- Kirkuk University
- Mosul University
- The Iraqi Borad for Medical Specialization
- University of Anbar
- University of Technology
- Al Mustafa University
- Al-Zahraa University for Women
- Alnoor University
- Kunooz University
- Misan University
- Ninevah University
- Tikrit University
- University of Al-Hamdaniya
- University of Kerbala
Close-to-convex Function Generates Remarkable Solution of 2^nd order Complex Nonlinear Differential Equations | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 9, Issue 2, 2017, Pages 141-147 PDF (0 K) | ||
| Author | ||
| Shatha S.Alhily | ||
| Abstract | ||
| Consider the complex nonlinear differential equation f^'' (z)-2/z f^' (z)-2/z^2 f^3 (z)= H(z) , where P(z)= (-2)/z,Q(z)=(-2)/z^2 are complex coefficients, and H(z) be a complex function performs non- homogeneous term of given equation. In this paper, we investigated that w(z)=(zf^')/f is a remarkable solution of given equation and belongs to hardy space H^2 ; with studying the growth of that solution by two ways ; through the maximum modulus and Brennan’s Conjecture and another by finding the supremum function of a volume of the surface area 〖K 〗_θ. Furthermore, we discussed the solution behaviour with meromorphic coefficients properties for given equation. | ||
| Keywords | ||
| Univalent Function; Positive Harmonic Functions; Growth of Solution | ||
|
Statistics Article View: 124 PDF Download: 94 |
||