Close-to-convex function generates remarkable solution of 2nd order complex nonlinear differential equations
Other Title(s)
الدالة القريبة إلى التحدب تولد حلا ملحوظا للمعادلات العقدية اللاخطية التفاضلية ذات المرتبة الثانية
Author
Source
al-Qadisiyah Journal for Computer Science and Mathematics
Issue
Vol. 9, Issue 2 (31 Dec. 2017), pp.141-147, 7 p.
Publisher
University of al-Qadisiyah College of computer Science and Information Technology
Publication Date
2017-12-31
Country of Publication
Iraq
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
al-Hili, Shadha Sami Sijad. 2017. Close-to-convex function generates remarkable solution of 2nd order complex nonlinear differential equations. al-Qadisiyah Journal for Computer Science and Mathematics،Vol. 9, no. 2, pp.141-147.
https://search.emarefa.net/detail/BIM-795360
Modern Language Association (MLA)
al-Hili, Shadha Sami Sijad. Close-to-convex function generates remarkable solution of 2nd order complex nonlinear differential equations. al-Qadisiyah Journal for Computer Science and Mathematics Vol. 9, no. 2 (2017), pp.141-147.
https://search.emarefa.net/detail/BIM-795360
American Medical Association (AMA)
al-Hili, Shadha Sami Sijad. Close-to-convex function generates remarkable solution of 2nd order complex nonlinear differential equations. al-Qadisiyah Journal for Computer Science and Mathematics. 2017. Vol. 9, no. 2, pp.141-147.
https://search.emarefa.net/detail/BIM-795360
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 146
Record ID
BIM-795360