Integral operators of certain univalent functions
A function f, analytic in the unit disc Δ, is said to be in the family Rn(α) if Re{(znf(z))(n+1)/(zn−1f(z))(n)}>(n+α)/(n+1) for some α(0≤α<1) and for all z in Δ, where n ϵ No, No={0,1,2,…}. The The class Rn(α) contains the starlike functions of order α for n≥0 and the convex functions of order...
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| Format: | Article |
| Language: | English |
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Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000710 |
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| _version_ | 1850223456888553472 |
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| author | O. P. Ahuja |
| author_facet | O. P. Ahuja |
| author_sort | O. P. Ahuja |
| collection | DOAJ |
| description | A function f, analytic in the unit disc Δ, is said to be in the family Rn(α) if Re{(znf(z))(n+1)/(zn−1f(z))(n)}>(n+α)/(n+1) for some α(0≤α<1) and for all z in Δ, where n ϵ No, No={0,1,2,…}. The The class Rn(α) contains the starlike functions of order α for n≥0 and the convex functions of order α for n≥1. We study a class of integral operators defined on Rn(α). Finally an argument theorem is proved. |
| format | Article |
| id | doaj-art-56de9012e535409da82ecb2bdd1bb620 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-56de9012e535409da82ecb2bdd1bb6202025-08-20T02:05:56ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018465366210.1155/S0161171285000710Integral operators of certain univalent functionsO. P. Ahuja0Department of Mathematics, University of Papua New Guinea, Box 320, University P.O., , Papua New GuineaA function f, analytic in the unit disc Δ, is said to be in the family Rn(α) if Re{(znf(z))(n+1)/(zn−1f(z))(n)}>(n+α)/(n+1) for some α(0≤α<1) and for all z in Δ, where n ϵ No, No={0,1,2,…}. The The class Rn(α) contains the starlike functions of order α for n≥0 and the convex functions of order α for n≥1. We study a class of integral operators defined on Rn(α). Finally an argument theorem is proved.http://dx.doi.org/10.1155/S0161171285000710 |
| spellingShingle | O. P. Ahuja Integral operators of certain univalent functions International Journal of Mathematics and Mathematical Sciences |
| title | Integral operators of certain univalent functions |
| title_full | Integral operators of certain univalent functions |
| title_fullStr | Integral operators of certain univalent functions |
| title_full_unstemmed | Integral operators of certain univalent functions |
| title_short | Integral operators of certain univalent functions |
| title_sort | integral operators of certain univalent functions |
| url | http://dx.doi.org/10.1155/S0161171285000710 |
| work_keys_str_mv | AT opahuja integraloperatorsofcertainunivalentfunctions |