ON SOME SUBCLASSES OF MULTIVALENT STARLIKE FUNCTIONS

تاريخ الاستلام: 4-5-2021م

تاريخ التقييم: 19-5-2021م

Pages:303-319

S. M. Amsheri - N. A. Abouthfeerah

الملخص:

في هذه الورقة البحثية نقدم فصلين جزئيين جديدين T_(m.λ.μ,η,δ)^* (p,α,β,σ) و C_(m,λ,μ,η,δ) ( p,α,β,σ) من الدوال النجمية متعددة التكافؤ في قرص الوحدة المفتوح معرفين باستخدام مؤثرمعين من حساب التفاضل و التكامل الكسري. سوف نحصل على متباينات المعامل وخواص التشوه للدوال المنتمية إلى الفصلين الجزئيين أعلاه. بالإضافة إلى تحديد أنصاف أقطار التحدب والنجمية للدوال المنتمية إلى هاتين الفصلين الجزئيين.

Abstract:

In the present paper, we introduce two new subclasses T_(m.λ.μ,η,δ)^* (p,α,β,σ) and C_(m,λ,μ,η,δ) ( p,α,β,σ) of multivalent starlike functions in the open unit disk defined by using certain fractional calculus operator. We obtain coefficient inequalities and distortion properties for functions belonging to the above subclasses. The radii of convexity and starlikeness for functions belonging to these subclasses are also determined.
Keywords: multivalent (or p-valent) functions, starlike functions, convex functions, fractional derivative operator.

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