Güney, Hatun ÖzlemOwa, ShigeyoshiAttiya, Adel A.2024-04-052024-04-052024Güney, H. Ö., Owa, S. ve Attiya, A. A. (2024). New integral operator for analytic functions. Journal of Function Spaces, 2024, 1-13.2314-8896https://www.hindawi.com/journals/jfs/2024/5295531/https://hdl.handle.net/11468/13863Let 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.eninfo:eu-repo/semantics/openAccessNew integral operatorAnalytic functionsArticle2024113WOS:0011457288000012-s2.0-8518368612810.1155/2024/5295531Q3N/A