New Integral Operator for Analytic Functions
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 ∗...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2024-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2024/5295531 |
| _version_ | 1797350922797449216 |
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| author | H. Özlem Güney Shigeyoshi Owa Adel A. Attiya |
| author_facet | H. Özlem Güney Shigeyoshi Owa Adel A. Attiya |
| author_sort | H. Özlem Güney |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-08T12:53:05Z |
| format | Article |
| id | doaj.art-23040f070bd7449183a1d3dc8bb63cd8 |
| institution | Directory Open Access Journal |
| issn | 2314-8888 |
| language | English |
| last_indexed | 2024-03-08T12:53:05Z |
| publishDate | 2024-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj.art-23040f070bd7449183a1d3dc8bb63cd82024-01-20T00:00:03ZengHindawi LimitedJournal of Function Spaces2314-88882024-01-01202410.1155/2024/5295531New Integral Operator for Analytic FunctionsH. Özlem Güney0Shigeyoshi Owa1Adel A. Attiya2Department of Mathematics1 Decembrie 1918 UniversityDepartment of MathematicsLet 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.http://dx.doi.org/10.1155/2024/5295531 |
| spellingShingle | H. Özlem Güney Shigeyoshi Owa Adel A. Attiya New Integral Operator for Analytic Functions Journal of Function Spaces |
| title | New Integral Operator for Analytic Functions |
| title_full | New Integral Operator for Analytic Functions |
| title_fullStr | New Integral Operator for Analytic Functions |
| title_full_unstemmed | New Integral Operator for Analytic Functions |
| title_short | New Integral Operator for Analytic Functions |
| title_sort | new integral operator for analytic functions |
| url | http://dx.doi.org/10.1155/2024/5295531 |
| work_keys_str_mv | AT hozlemguney newintegraloperatorforanalyticfunctions AT shigeyoshiowa newintegraloperatorforanalyticfunctions AT adelaattiya newintegraloperatorforanalyticfunctions |