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Coefficient bounds for some families of starlike and convex functions of complex order |
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| Authors: | Osman Alt&#x;nta Hüseyin Irmak Shigeyoshi Owa HM Srivastava |
| Institution: | aDepartment of Mathematics Education, Başkent University, Bağlıca Campus, TR-06810 Ankara, Turkey bDepartment of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan cDepartment of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3P4, Canada |
| Abstract: | In the present work, the authors determine coefficient bounds for functions in certain subclasses of starlike and convex functions of complex order, which are introduced here by means of a family of nonhomogeneous Cauchy–Euler differential equations. Several corollaries and consequences of the main results are also considered. |
| Keywords: | Analytic functions Coefficient bounds Starlike functions of complex order Convex functions of complex order Nonhomogeneous Cauchy–Euler differential equations Inequalities |
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