Coefficient estimates for Ruscheweyh derivatives
We consider functions f, analytic in the unit disc and of the normalized form f(z)=z+∑n=2∞anzn. For functions f∈R¯δ(β), the class of functions involving the Ruscheweyh derivatives operator, we give sharp upper bounds for the Fekete-Szegö functional |a3−μa22|.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204309051 |
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| _version_ | 1832550302764498944 |
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| author | Maslina Darus Ajab Akbarally |
| author_facet | Maslina Darus Ajab Akbarally |
| author_sort | Maslina Darus |
| collection | DOAJ |
| description | We consider functions f, analytic in the unit disc and of the
normalized form f(z)=z+∑n=2∞anzn. For
functions f∈R¯δ(β), the class of functions
involving the Ruscheweyh derivatives operator, we give sharp
upper bounds for the Fekete-Szegö functional |a3−μa22|. |
| format | Article |
| id | doaj-art-c3232712c95941959e4171a1d46e2f9a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c3232712c95941959e4171a1d46e2f9a2025-02-03T06:07:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004361937194210.1155/S0161171204309051Coefficient estimates for Ruscheweyh derivativesMaslina Darus0Ajab Akbarally1School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Selangor Darul Ehsan 43600, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Selangor Darul Ehsan 43600, MalaysiaWe consider functions f, analytic in the unit disc and of the normalized form f(z)=z+∑n=2∞anzn. For functions f∈R¯δ(β), the class of functions involving the Ruscheweyh derivatives operator, we give sharp upper bounds for the Fekete-Szegö functional |a3−μa22|.http://dx.doi.org/10.1155/S0161171204309051 |
| spellingShingle | Maslina Darus Ajab Akbarally Coefficient estimates for Ruscheweyh derivatives International Journal of Mathematics and Mathematical Sciences |
| title | Coefficient estimates for Ruscheweyh derivatives |
| title_full | Coefficient estimates for Ruscheweyh derivatives |
| title_fullStr | Coefficient estimates for Ruscheweyh derivatives |
| title_full_unstemmed | Coefficient estimates for Ruscheweyh derivatives |
| title_short | Coefficient estimates for Ruscheweyh derivatives |
| title_sort | coefficient estimates for ruscheweyh derivatives |
| url | http://dx.doi.org/10.1155/S0161171204309051 |
| work_keys_str_mv | AT maslinadarus coefficientestimatesforruscheweyhderivatives AT ajabakbarally coefficientestimatesforruscheweyhderivatives |