Subclasses of α-spirallike functions associated with Ruscheweyh derivatives
Making use of the Ruscheweyh derivatives, we introduce the subclasses T(n,α,λ)(n∈{0,1,2,3,…},−π/2<α<π/2,and0≤λ≤cos2α) of functions f(z)=z+∑k=2∞akzk which are analytic in |z|<1. Subordination and inclusion relations are obtained. The radius of α-spirallikeness of order ρ is calculated. A con...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/39840 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553048004624384 |
|---|---|
| author | Neng Xu Dinggong Yang |
| author_facet | Neng Xu Dinggong Yang |
| author_sort | Neng Xu |
| collection | DOAJ |
| description | Making use of the Ruscheweyh derivatives, we introduce the
subclasses T(n,α,λ)(n∈{0,1,2,3,…},−π/2<α<π/2,and0≤λ≤cos2α) of functions f(z)=z+∑k=2∞akzk which are analytic in |z|<1. Subordination and inclusion relations are
obtained. The radius of α-spirallikeness of order ρ is calculated. A convolution property and a special member of T(n,α,λ) are also given. |
| format | Article |
| id | doaj-art-3220d443e0a34dd296991718289bdaaa |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3220d443e0a34dd296991718289bdaaa2025-02-03T05:57:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/3984039840Subclasses of α-spirallike functions associated with Ruscheweyh derivativesNeng Xu0Dinggong Yang1Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu 215500, ChinaDepartment of Mathematics, Suzhou University, Suzhou, Jiangsu 215006, ChinaMaking use of the Ruscheweyh derivatives, we introduce the subclasses T(n,α,λ)(n∈{0,1,2,3,…},−π/2<α<π/2,and0≤λ≤cos2α) of functions f(z)=z+∑k=2∞akzk which are analytic in |z|<1. Subordination and inclusion relations are obtained. The radius of α-spirallikeness of order ρ is calculated. A convolution property and a special member of T(n,α,λ) are also given.http://dx.doi.org/10.1155/IJMMS/2006/39840 |
| spellingShingle | Neng Xu Dinggong Yang Subclasses of α-spirallike functions associated with Ruscheweyh derivatives International Journal of Mathematics and Mathematical Sciences |
| title | Subclasses of α-spirallike functions associated with Ruscheweyh derivatives |
| title_full | Subclasses of α-spirallike functions associated with Ruscheweyh derivatives |
| title_fullStr | Subclasses of α-spirallike functions associated with Ruscheweyh derivatives |
| title_full_unstemmed | Subclasses of α-spirallike functions associated with Ruscheweyh derivatives |
| title_short | Subclasses of α-spirallike functions associated with Ruscheweyh derivatives |
| title_sort | subclasses of α spirallike functions associated with ruscheweyh derivatives |
| url | http://dx.doi.org/10.1155/IJMMS/2006/39840 |
| work_keys_str_mv | AT nengxu subclassesofaspirallikefunctionsassociatedwithruscheweyhderivatives AT dinggongyang subclassesofaspirallikefunctionsassociatedwithruscheweyhderivatives |