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 |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X13000102 |