Univalence of normalized solutions of W″(z)+p(z)W(z)=0
Denote solutions of W″(z)+p(z)W(z)=0 by Wα(z)=zα[1+∑n=1∞anzn] and Wβ(z)=zβ[1+∑n=1∞bnzn], where 0<ℛ(β)≤1/2≤ℛ(α) and z2p(z) is holomorphic in |z|<1. We determine sufficient conditions on p(z) so that [Wα(z)]1/α and [Wβ(z)]1/β are univalent in |z|<1.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171282000441 |
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