Pairs of paths and critical points
Two sufficient conditions are presented, in terms of the values taken by a holomorphic function f(z) on a pair of smooth paths intersecting at a point z0 in its domain, implying that f′(z0)=0.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201005233 |
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| _version_ | 1832556200832532480 |
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| author | Florin Caragiu Ioana Caragiu |
| author_facet | Florin Caragiu Ioana Caragiu |
| author_sort | Florin Caragiu |
| collection | DOAJ |
| description | Two sufficient conditions are presented, in terms of the values taken by a holomorphic function f(z) on a pair of smooth paths intersecting at a point z0 in its domain, implying that f′(z0)=0. |
| format | Article |
| id | doaj-art-8a0e4efcc4134dc7a3e8daa212d4d60e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8a0e4efcc4134dc7a3e8daa212d4d60e2025-02-03T05:46:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0126318919210.1155/S0161171201005233Pairs of paths and critical pointsFlorin Caragiu0Ioana Caragiu1Department of Mathematics II, University Politehnica of Bucharest, Splaiul Independentei 313, Bucharest 79590, RomaniaDepartment of Mathematics II, University Politehnica of Bucharest, Splaiul Independentei 313, Bucharest 79590, RomaniaTwo sufficient conditions are presented, in terms of the values taken by a holomorphic function f(z) on a pair of smooth paths intersecting at a point z0 in its domain, implying that f′(z0)=0.http://dx.doi.org/10.1155/S0161171201005233 |
| spellingShingle | Florin Caragiu Ioana Caragiu Pairs of paths and critical points International Journal of Mathematics and Mathematical Sciences |
| title | Pairs of paths and critical points |
| title_full | Pairs of paths and critical points |
| title_fullStr | Pairs of paths and critical points |
| title_full_unstemmed | Pairs of paths and critical points |
| title_short | Pairs of paths and critical points |
| title_sort | pairs of paths and critical points |
| url | http://dx.doi.org/10.1155/S0161171201005233 |
| work_keys_str_mv | AT florincaragiu pairsofpathsandcriticalpoints AT ioanacaragiu pairsofpathsandcriticalpoints |