## Analytic functions Starlike functions of complex order Convex functions of complex order Cauchy-Euler differential equations Non-homogeneous differential equations a b s t r a c t In this work, we determine the coefficient bounds for functions in certain subclasses of starlike and convex funct
Coefficient bounds for some families of starlike and convex functions of complex order
✍ Scribed by Osman Altıntaş; Hüseyin Irmak; Shigeyoshi Owa; H.M. Srivastava
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 183 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
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.
📜 SIMILAR VOLUMES
We introduce the subclass P P j, , ␣ , n of starlike functions with negative coefficients by using the differential operator D n which was considered by G. S ¸t.
Let z be an analytic function with positive real part on ⌬ s z; z -1 with Ž . Ž . 0 s 1, Ј 0 ) 0 which maps the unit disk ⌬ onto a region starlike with respect Ž . to 1 and symmetric with respect to the real axis. Let ST denote the class of Ž . Ž . Ž . Ž . Ž . Ž . analytic functions f z with f 0 s
## Starlike of order α Convex of order α a b s t r a c t For analytic functions f (z) in the open unit disk U, there are many sufficient conditions for f (z) to be starlike and convex in U. In view of the paper by P.T. Mocanu [P.T. Mocanu, Some starlikeness conditions for analytic functions, Rev.