تحديد مجموعات قيم بعض الداليات في فضاءات الدوال الممثلة بالتكامل

Authors

  • حسن بدور
  • أحمد ديب

Abstract

يقدم هذا البحث طريقة معينة لتحديد مستقرات بعض الداليات العقدية المختارة  في فضاء كاراتيودوري وهو فضاء التوابع التحليلية في قرص الواحدة الذي يحقق الشرط  وأيضاَ في فضاء الدوال النجمية المرتبط معه.  باستخدام  التمثيل التكاملي للدوال تم تحديد منطقة تحول بعض الداليات في كل من هذين الفضائين  من الشكل .

 

This paper presents a certain method of determining the range of  variability  of some linear  functional defined by the Caratheodory  Class (i.e.  the class  of analytic functions in the unit disk  with a real positive part f(0)=1) and by the Class of Starlike Functions related to it. Using the integral  representation of functions in these classes, some estimations for the functional of the type  have been obtained.

 

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Published

2018-12-05

How to Cite

1.
بدور ح, ديب أ. تحديد مجموعات قيم بعض الداليات في فضاءات الدوال الممثلة بالتكامل. TUJ-BA [Internet]. 2018Dec.5 [cited 2024May3];30(2). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/5058

Issue

Vol. 30 No. 2 (2008): العلوم الأساسية

Section

Articles

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