SOME RESULTS OF p−VALENT FUNCTIONS DEFINED BY INTEGRAL OPERATORS

نویسندگان

  • Gulsah Saltik
  • Ekrem Kadioglu
چکیده

In this paper, we derive some properties for Gp,n,l,δ(z) and Fp,n,l,δ(z) considering the classes MT (p, βi, μi) , KD (p, βi, μi) and Np (γ). Two new subclasses KDFp,n,l (β, μ, δ1, δ2, ..., δn) and KDGp,n,l (β, μ, δ1, δ2, ..., δn) are defined. Necessary and sufficient conditions for a family of functions fi and gi, respectively, to be in the KDFp,n,l (β, μ, δ1, δ2, ..., δn) and KDGp,n,l (β, μ, δ1, δ2, ..., δn) are defined. As special cases, the properties of z ∫ 0 n ∏ i=1 (f ′(t))dt and z ∫ 0 n ∏ i=1 ( f(t) t )δ dt are given. 2000 Mathematics Subject Classification: 30C45.

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تاریخ انتشار 2013