حول خصائص الاحتواء لفصول جزئية معينة من دوال تحليلية متعددة التكافؤ متضمنة مؤثر تفاضلي معمم موسع جديد
الكلمات المفتاحية:
خواص الاحتواء، دوال تحليلية متعددة التكافؤ، دوال شبه محدبة، قرص الوحدة المفتوح، مؤثر تفاضلي معمم.الملخص
الغاية من الورقة الحالية هو استخدام مبدأ التبعية بين الدوال التحليلية، لتعريف ولدراسة منهجية لفصول جزئية جديدة من دوال تحليلية متعددة التكافؤ في قرص الوحدة المفتوحة، باستعمال مؤثر تفاضلي معمم وموسع {\mathcal{F}}{p,{\lambda }{1},{\lambda }_{2}}^{m,l,n}f\left(z\right) ، كذلك سوف نحقق خصائص الاحتواء لهذه الفصول الجزئية. بالإضافة لذلك، سوف نعرف فصل من دوال قريبة من التحدب من الرتبة β والنوع α ، وفصل من الدوال شبه محدبة، وسنبرهن خواص الاحتواء لها.
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