Univalence of normalized solutions ofW″(z)+p(z)W(z)=0-Reference-Cited by-同舟云学术

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Univalence of normalized solutions ofW″(z)+p(z)W(z)=0

Published:1982 Issue:3 Volume:5 Page:459-483
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Brown R. K.¹

Affiliation:

1. Department of Mathematical Sciences, Kent State University, Kent 44242, Ohio, USA

Abstract

Denote solutions ofW″(z)+p(z)W(z)=0byWα(z)=zα[1+∑n=1∞anzn]andWβ(z)=zβ[1+∑n=1∞bnzn], where0<ℛ(β)≤1/2≤ℛ(α)andz2p(z)is holomorphic in|z|<1. We determine sufficient conditions onp(z)so that[Wα(z)]1/αand[Wβ(z)]1/βare univalent in|z|<1.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/1982/864349.pdf

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