On univalent functions defined by a generalized Sălăgean operator
We introduce a class of univalent functions Rn(λ,α) defined by a new differential operator Dnf(z), n∈ℕ0={0,1,2,…}, where D0f(z)=f(z), D1f(z)=(1−λ)f(z)+λzf′(z)=Dλf(z), λ≥0, and Dnf(z)=Dλ(Dn−1f(z)). Inclusion relations, extreme points of Rn(λ,α), some convolution properties of functions belonging to R...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204108090 |
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| _version_ | 1849305334030532608 |
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| author | F. M. Al-Oboudi |
| author_facet | F. M. Al-Oboudi |
| author_sort | F. M. Al-Oboudi |
| collection | DOAJ |
| description | We introduce a class of univalent functions
Rn(λ,α) defined by a new differential operator
Dnf(z), n∈ℕ0={0,1,2,…}, where
D0f(z)=f(z), D1f(z)=(1−λ)f(z)+λzf′(z)=Dλf(z), λ≥0, and
Dnf(z)=Dλ(Dn−1f(z)). Inclusion relations,
extreme points of Rn(λ,α), some convolution
properties of functions belonging to Rn(λ,α), and
other results are given. |
| format | Article |
| id | doaj-art-094fadfa33d2469eadd3783984a00964 |
| 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-094fadfa33d2469eadd3783984a009642025-08-20T03:55:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004271429143610.1155/S0161171204108090On univalent functions defined by a generalized Sălăgean operatorF. M. Al-Oboudi0Mathematics Department, Science Sections, Girls College of Education, Sitteen Street, Malaz, Riyadh 11417, Saudi ArabiaWe introduce a class of univalent functions Rn(λ,α) defined by a new differential operator Dnf(z), n∈ℕ0={0,1,2,…}, where D0f(z)=f(z), D1f(z)=(1−λ)f(z)+λzf′(z)=Dλf(z), λ≥0, and Dnf(z)=Dλ(Dn−1f(z)). Inclusion relations, extreme points of Rn(λ,α), some convolution properties of functions belonging to Rn(λ,α), and other results are given.http://dx.doi.org/10.1155/S0161171204108090 |
| spellingShingle | F. M. Al-Oboudi On univalent functions defined by a generalized Sălăgean operator International Journal of Mathematics and Mathematical Sciences |
| title | On univalent functions defined by a generalized Sălăgean operator |
| title_full | On univalent functions defined by a generalized Sălăgean operator |
| title_fullStr | On univalent functions defined by a generalized Sălăgean operator |
| title_full_unstemmed | On univalent functions defined by a generalized Sălăgean operator |
| title_short | On univalent functions defined by a generalized Sălăgean operator |
| title_sort | on univalent functions defined by a generalized salagean operator |
| url | http://dx.doi.org/10.1155/S0161171204108090 |
| work_keys_str_mv | AT fmaloboudi onunivalentfunctionsdefinedbyageneralizedsalageanoperator |