Radius of strongly starlikeness for certain analytic functions
For analytic functions f(z)=zp+ap+1zp+1+⋯ in the open unit disk U and a polynomial Q(z) of degree n>0, the function F(z)=f(z)[Q(z)]β/n is introduced. The object of the present paper is to determine the radius of p-valently strongly starlikeness of order γ for F(z).
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202007378 |
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| _version_ | 1832559964221079552 |
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| author | Oh Sang Kwon Shigeyoshi Owa |
| author_facet | Oh Sang Kwon Shigeyoshi Owa |
| author_sort | Oh Sang Kwon |
| collection | DOAJ |
| description | For analytic functions f(z)=zp+ap+1zp+1+⋯ in the open unit disk U and a polynomial Q(z) of degree n>0, the function F(z)=f(z)[Q(z)]β/n is introduced. The object of the present paper is to determine the radius of p-valently strongly starlikeness of order γ for F(z). |
| format | Article |
| id | doaj-art-4b3d750375694c17bac013e37303c569 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4b3d750375694c17bac013e37303c5692025-02-03T01:28:45ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129527127710.1155/S0161171202007378Radius of strongly starlikeness for certain analytic functionsOh Sang Kwon0Shigeyoshi Owa1Department of Mathematics, Kyungsung University, Pusan 608-736, KoreaDepartment of Mathematics, Kinki University, Osaka, Higashi-Osaka 577-8502, JapanFor analytic functions f(z)=zp+ap+1zp+1+⋯ in the open unit disk U and a polynomial Q(z) of degree n>0, the function F(z)=f(z)[Q(z)]β/n is introduced. The object of the present paper is to determine the radius of p-valently strongly starlikeness of order γ for F(z).http://dx.doi.org/10.1155/S0161171202007378 |
| spellingShingle | Oh Sang Kwon Shigeyoshi Owa Radius of strongly starlikeness for certain analytic functions International Journal of Mathematics and Mathematical Sciences |
| title | Radius of strongly starlikeness for certain analytic functions |
| title_full | Radius of strongly starlikeness for certain analytic functions |
| title_fullStr | Radius of strongly starlikeness for certain analytic functions |
| title_full_unstemmed | Radius of strongly starlikeness for certain analytic functions |
| title_short | Radius of strongly starlikeness for certain analytic functions |
| title_sort | radius of strongly starlikeness for certain analytic functions |
| url | http://dx.doi.org/10.1155/S0161171202007378 |
| work_keys_str_mv | AT ohsangkwon radiusofstronglystarlikenessforcertainanalyticfunctions AT shigeyoshiowa radiusofstronglystarlikenessforcertainanalyticfunctions |