New integral operator for analytic functions

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Küçük Resim

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Hindawi Limited

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

Let Apn be the class of functions fz given by fz=zp+ap+nzp+n+ap+n+1zp+n+1+⋯ which are analytic in the open unit disk U. For fz∈Apn, new integral operators O-jfz and Ojfzj=0,1,2,⋯. are considered. The operators O-jfz and Ojfz satisfy OjO-jfz=O-jOjfz=fz and O-j∗Ojfz=Oj∗O-jfz=f∗fz for the convolution ∗ of O-jfz and Ojfz. In the present paper, the dominants for both operators O-jfz and Ojfz and subordinations for O-jfz and Ojfz are discussed. Also, new subclass Tpγm,δ,ρ;m,j concerning with m different boundary points is defined and discussed. Moreover, some interesting problems of Tpγm,δ,ρ;m,j associated with Ojfz are obtained. Furthermore, some interesting examples for our results are considered.

Açıklama

Anahtar Kelimeler

New integral operator, Analytic functions

Kaynak

Journal of Function Spaces

WoS Q Değeri

N/A

Scopus Q Değeri

Q3

Cilt

2024

Sayı

Künye

Güney, H. Ö., Owa, S. ve Attiya, A. A. (2024). New integral operator for analytic functions. Journal of Function Spaces, 2024, 1-13.