Some sufficient conditions for univalence
A new subclass R(α), 0≤α≤1, of the class St(1/2) the class of starlike functions of order 1/2 is introduced and it is shown that R(α) is closed with respect to the Hadamard product of analytic functions. Some sufficient conditions for the normalized regular functions to be univalent in the unit disk...
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| Format: | Article |
| Language: | English |
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Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000856 |
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| _version_ | 1832564616593408000 |
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| author | Sukhjit Singh |
| author_facet | Sukhjit Singh |
| author_sort | Sukhjit Singh |
| collection | DOAJ |
| description | A new subclass R(α), 0≤α≤1, of the class St(1/2) the class of
starlike functions of order 1/2 is introduced and it is shown that R(α) is closed
with respect to the Hadamard product of analytic functions. Some sufficient
conditions for the normalized regular functions to be univalent in the unit disk E are
given. |
| format | Article |
| id | doaj-art-7a040180b79748ae85c9400b5d7d163d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1991-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7a040180b79748ae85c9400b5d7d163d2025-02-03T01:10:35ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114361962310.1155/S0161171291000856Some sufficient conditions for univalenceSukhjit Singh0Department of Mathematics, Punjabi University, Patiala 147002, (Punjab), IndiaA new subclass R(α), 0≤α≤1, of the class St(1/2) the class of starlike functions of order 1/2 is introduced and it is shown that R(α) is closed with respect to the Hadamard product of analytic functions. Some sufficient conditions for the normalized regular functions to be univalent in the unit disk E are given.http://dx.doi.org/10.1155/S0161171291000856convex functionclose-to-convex functionstarlike function of order 1/2univalent functionHadamard product. |
| spellingShingle | Sukhjit Singh Some sufficient conditions for univalence International Journal of Mathematics and Mathematical Sciences convex function close-to-convex function starlike function of order 1/2 univalent function Hadamard product. |
| title | Some sufficient conditions for univalence |
| title_full | Some sufficient conditions for univalence |
| title_fullStr | Some sufficient conditions for univalence |
| title_full_unstemmed | Some sufficient conditions for univalence |
| title_short | Some sufficient conditions for univalence |
| title_sort | some sufficient conditions for univalence |
| topic | convex function close-to-convex function starlike function of order 1/2 univalent function Hadamard product. |
| url | http://dx.doi.org/10.1155/S0161171291000856 |
| work_keys_str_mv | AT sukhjitsingh somesufficientconditionsforunivalence |