کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4619774 1339446 2009 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Subordination results for classes of analytic functions related to conic domains defined by a fractional operator
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Subordination results for classes of analytic functions related to conic domains defined by a fractional operator
چکیده انگلیسی

Let a fractional operator Dλn,α (n∈N0={0,1,2,…}n∈N0={0,1,2,…}, 0⩽α<10⩽α<1, λ⩾0λ⩾0) be defined byDλ0,0=f(z),Dλ1,αf(z)=(1−λ)Ωαf(z)+λz(Ωαf(z))′=Dλα(f(z)),Dλ2,αf(z)=Dλα(Dλ1,αf(z)),⋮Dλn,αf(z)=Dλα(Dλn−1,αf(z)), whereΩαf(z)=Γ(2−α)zαDzαf(z), and Dzα is the known fractional derivative. In this paper, several interesting subordination results are derived for certain classes of analytic functions related to conic domains defined by the operator Dλn,α, which yield sharp distortion, rotation theorems and Koebe domain. These results extended corresponding previously known results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 354, Issue 2, 15 June 2009, Pages 412–420
نویسندگان
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