On subordination-preserving theorem

نویسنده

  • Janusz Sokól
چکیده

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t Let H denote the class of analytic functions in the unit disc on the complex plane C. If the operator I : H ! H satisfies f ðzÞ 0 gðzÞ) I½f ŠðzÞ 0 I½gŠðzÞ for all f ; g 2 H, then it is called subordination-preserving operator on the class H. In this paper we present a new result of this form which generalize some of the earlier and is connected with the Wilf's conjecture. The applications of main result are also presented.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 219  شماره 

صفحات  -

تاریخ انتشار 2013