الخواص المحيطية لبعض الداليات في فضاء الدوال التحليلية

Authors

  • حسن بدور
  • محمد علي
  • هناء سكاف

Abstract

يقدم هذا البحث طريقة معينة لتحديد مجموعات قيم بعض الداليات العقدية المختارة  في الفضاء  وهو فضاء التوابع التحليلية  في قرص الواحدة التي تقبل التمثيل التكاملي الآتي:

,

حيث  دالة غير متناقصة ضمن المجال وتحقق الشرط . و قد تم ، في هذا الفضاء ، تعيين مجموعتي قيم الداليين:

 

حيث تبين أن كلاً من هاتين المجموعتين هو قرص مغلق   تم تحديد مركزه  ونصف قطره  في كل من الحالتين . وقد تم الحصول أيضاً على نتائج أخرى متعلقة بتقدير طويلة الدالة ومشتقاتها في هذا الفضاء.

This paper presents a certain method to determine the range of variability  of  some  functionals  defined in the  Class  ( i.e  the class  of analytic functions in the unit disk  of the form:

,

Where  is nondecreasing functions on the interval  such that

).

 

It has been shown that the ranges of variability  of  functional:

 

are the closed disc  with and  precisely determined . Also the modulus of function  and its derivative were estimated.

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Published

2018-12-09

How to Cite

1.
بدور ح, علي م, سكاف ه. الخواص المحيطية لبعض الداليات في فضاء الدوال التحليلية. TUJ-BA [Internet]. 2018Dec.9 [cited 2024May3];34(1). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/5232

Issue

Vol. 34 No. 1 (2012): العلوم الأساسية

Section

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