A covering theorem for odd typically-real functions
An analytic function f(z)=z+a2z2+… in |z|<1 is typically-real if Imf(z)Imz≥0. The largest domain G in which each odd typically-real function is univalent (one-to-one) and the domain ⋂f(G) for all odd typically real functions f are obtained.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1980-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171280000130 |
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Article |
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doaj-6c315b9556ce486f8fda447a162d03552020-11-25T00:33:06ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251980-01-013118919210.1155/S0161171280000130A covering theorem for odd typically-real functionsE. P. Merkes0Department of Mathematical Sciences, University of Cincinnati, Cincinnati 45221, Ohio, USAAn analytic function f(z)=z+a2z2+… in |z|<1 is typically-real if Imf(z)Imz≥0. The largest domain G in which each odd typically-real function is univalent (one-to-one) and the domain ⋂f(G) for all odd typically real functions f are obtained.http://dx.doi.org/10.1155/S0161171280000130typically-real functionsdomain of univalencecovering threorems. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
E. P. Merkes |
| spellingShingle |
E. P. Merkes A covering theorem for odd typically-real functions International Journal of Mathematics and Mathematical Sciences typically-real functions domain of univalence covering threorems. |
| author_facet |
E. P. Merkes |
| author_sort |
E. P. Merkes |
| title |
A covering theorem for odd typically-real functions |
| title_short |
A covering theorem for odd typically-real functions |
| title_full |
A covering theorem for odd typically-real functions |
| title_fullStr |
A covering theorem for odd typically-real functions |
| title_full_unstemmed |
A covering theorem for odd typically-real functions |
| title_sort |
covering theorem for odd typically-real functions |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1980-01-01 |
| description |
An analytic function f(z)=z+a2z2+… in |z|<1 is typically-real if Imf(z)Imz≥0. The largest domain G in which each odd typically-real function is univalent (one-to-one) and the domain ⋂f(G) for all odd typically real functions f are obtained. |
| topic |
typically-real functions domain of univalence covering threorems. |
| url |
http://dx.doi.org/10.1155/S0161171280000130 |
| work_keys_str_mv |
AT epmerkes acoveringtheoremforoddtypicallyrealfunctions AT epmerkes coveringtheoremforoddtypicallyrealfunctions |
| _version_ |
1725317106018287616 |