On subclasses of close-to-convex functions of higher order
The classes Tk(ρ), 0≤ρ<1, k≥2, of analytic functions, using the class Vk(ρ) of functions of bounded boundary rotation, are defined and it is shown that the functions in these classes are close-to-convex of higher order. Covering theorem, arc-length result and some radii problems are solved. We al...
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| Format: | Article |
| Language: | English |
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Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S016117129200036X |
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| _version_ | 1832554503062159360 |
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| author | Khalida Inayat Noor |
| author_facet | Khalida Inayat Noor |
| author_sort | Khalida Inayat Noor |
| collection | DOAJ |
| description | The classes Tk(ρ), 0≤ρ<1, k≥2, of analytic functions, using the class Vk(ρ) of functions of bounded boundary rotation, are defined and it is shown that the functions in these classes are close-to-convex of higher order. Covering theorem, arc-length result and some radii problems are solved. We also discuss some properties of the class Vk(ρ) including distortion and coefficient results. |
| format | Article |
| id | doaj-art-7ed1b45a4163448f910d2730db373cd3 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7ed1b45a4163448f910d2730db373cd32025-02-03T05:51:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115227928910.1155/S016117129200036XOn subclasses of close-to-convex functions of higher orderKhalida Inayat Noor0Mathematics Department, P.O. Box 2455, King Saud University, Riyadh 11451, Saudi ArabiaThe classes Tk(ρ), 0≤ρ<1, k≥2, of analytic functions, using the class Vk(ρ) of functions of bounded boundary rotation, are defined and it is shown that the functions in these classes are close-to-convex of higher order. Covering theorem, arc-length result and some radii problems are solved. We also discuss some properties of the class Vk(ρ) including distortion and coefficient results.http://dx.doi.org/10.1155/S016117129200036Xanalytic functionsclose-to-convexunivalentbounded boundary rotationcoefficientpositive real part. |
| spellingShingle | Khalida Inayat Noor On subclasses of close-to-convex functions of higher order International Journal of Mathematics and Mathematical Sciences analytic functions close-to-convex univalent bounded boundary rotation coefficient positive real part. |
| title | On subclasses of close-to-convex functions of higher order |
| title_full | On subclasses of close-to-convex functions of higher order |
| title_fullStr | On subclasses of close-to-convex functions of higher order |
| title_full_unstemmed | On subclasses of close-to-convex functions of higher order |
| title_short | On subclasses of close-to-convex functions of higher order |
| title_sort | on subclasses of close to convex functions of higher order |
| topic | analytic functions close-to-convex univalent bounded boundary rotation coefficient positive real part. |
| url | http://dx.doi.org/10.1155/S016117129200036X |
| work_keys_str_mv | AT khalidainayatnoor onsubclassesofclosetoconvexfunctionsofhigherorder |