Univalency of general integral operator defined by Schwarz functions
In this paper, we obtain new univalence conditions for the integral operator Wβ(z)=β∫0ztβ-1∏i=1n(1+wi(t))γiexp∑i=1nγiwi(t)dt1β, where wi(t) are Schwarz functions defined in the open unit disk. Our main results contain some interesting corollaries as special cases.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2013-07-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X13000102 |
| _version_ | 1828898027561025536 |
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| author | B.A. Frasin |
| author_facet | B.A. Frasin |
| author_sort | B.A. Frasin |
| collection | DOAJ |
| description | In this paper, we obtain new univalence conditions for the integral operator Wβ(z)=β∫0ztβ-1∏i=1n(1+wi(t))γiexp∑i=1nγiwi(t)dt1β, where wi(t) are Schwarz functions defined in the open unit disk. Our main results contain some interesting corollaries as special cases. |
| first_indexed | 2024-12-13T15:08:17Z |
| format | Article |
| id | doaj.art-a62b343b914f47d59f6775760a1ed049 |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-13T15:08:17Z |
| publishDate | 2013-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-a62b343b914f47d59f6775760a1ed0492022-12-21T23:40:56ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2013-07-0121211912210.1016/j.joems.2013.02.001Univalency of general integral operator defined by Schwarz functionsB.A. FrasinIn this paper, we obtain new univalence conditions for the integral operator Wβ(z)=β∫0ztβ-1∏i=1n(1+wi(t))γiexp∑i=1nγiwi(t)dt1β, where wi(t) are Schwarz functions defined in the open unit disk. Our main results contain some interesting corollaries as special cases.http://www.sciencedirect.com/science/article/pii/S1110256X13000102Analytic and univalent functionsIntegral operator |
| spellingShingle | B.A. Frasin Univalency of general integral operator defined by Schwarz functions Journal of the Egyptian Mathematical Society Analytic and univalent functions Integral operator |
| title | Univalency of general integral operator defined by Schwarz functions |
| title_full | Univalency of general integral operator defined by Schwarz functions |
| title_fullStr | Univalency of general integral operator defined by Schwarz functions |
| title_full_unstemmed | Univalency of general integral operator defined by Schwarz functions |
| title_short | Univalency of general integral operator defined by Schwarz functions |
| title_sort | univalency of general integral operator defined by schwarz functions |
| topic | Analytic and univalent functions Integral operator |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X13000102 |
| work_keys_str_mv | AT bafrasin univalencyofgeneralintegraloperatordefinedbyschwarzfunctions |