SOME NOVEL APPLICATIONS OF CERTAIN HIGHER ORDER ORDINARY COMPLEX DIFFERENTIAL EQUATIONS TO NORMALIZED ANALYTIC FUNCTIONS

Müfit Şan; Hüseyin Irmak

doi:10.11948/2015037

2015 Volume 5 Issue 3

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Müfit Şan, Hüseyin Irmak. SOME NOVEL APPLICATIONS OF CERTAIN HIGHER ORDER ORDINARY COMPLEX DIFFERENTIAL EQUATIONS TO NORMALIZED ANALYTIC FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2015, 5(3): 479-484. doi: 10.11948/2015037

Citation:

Müfit Şan, Hüseyin Irmak. SOME NOVEL APPLICATIONS OF CERTAIN HIGHER ORDER ORDINARY COMPLEX DIFFERENTIAL EQUATIONS TO NORMALIZED ANALYTIC FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2015, 5(3): 479-484. doi: 10.11948/2015037

SOME NOVEL APPLICATIONS OF CERTAIN HIGHER ORDER ORDINARY COMPLEX DIFFERENTIAL EQUATIONS TO NORMALIZED ANALYTIC FUNCTIONS

Department of Mathematics, Faculty of Science, Çankırı Karatekin University, Tr 18100, Uluyazi Campus, Çankırı, Turkey

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Abstract

Abstract

The aim of this work is first to reveal some nonlinear connections between normalized analytic functions and certain higher order ordinary (complex) differential equations and then to point some of their geometric implications appertaining to normalized analytic functions out.
- Normalized analytic functions /
- univalent functions /
- domains in the complex plane /
- starlikeness and convexity /
- inequalities in the complex plane /
- ordinary complex differential equation
MSC: 35G10;30C55;30C45;30A10

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