Generalizations of p-valent functions via the hadamard product
The classes of univalent prestarlike functions Rα, α≥−1, of Ruscheweyh [1] and a certain generalization of Rα were studied recently by Al-Amiri [2]. The author studies, among other things, the classes of p-valent functions R(α+p−1) where p is a positive integer and α is any integer with α+p>0. Th...
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| Format: | Article |
| Language: | English |
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Wiley
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S016117128200026X |
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| _version_ | 1832552903322107904 |
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| author | Anil K. Soni |
| author_facet | Anil K. Soni |
| author_sort | Anil K. Soni |
| collection | DOAJ |
| description | The classes of univalent prestarlike functions Rα, α≥−1, of Ruscheweyh [1] and a certain generalization of Rα were studied recently by Al-Amiri [2]. The author studies, among other things, the classes of p-valent functions R(α+p−1) where p is a positive integer and α is any integer with α+p>0. The author shows in particular that R(α+p)⊂R(α+p−1) and also obtains the radius of R(α+p) for the class R(α+p−1). |
| format | Article |
| id | doaj-art-33fffa62e321441dbb062baba7a8f2eb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1982-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-33fffa62e321441dbb062baba7a8f2eb2025-02-03T05:57:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-015228929910.1155/S016117128200026XGeneralizations of p-valent functions via the hadamard productAnil K. Soni0Department of Mathematics and Statistics, Bowling Green State University, Bowling Green 43403, Ohio, USAThe classes of univalent prestarlike functions Rα, α≥−1, of Ruscheweyh [1] and a certain generalization of Rα were studied recently by Al-Amiri [2]. The author studies, among other things, the classes of p-valent functions R(α+p−1) where p is a positive integer and α is any integer with α+p>0. The author shows in particular that R(α+p)⊂R(α+p−1) and also obtains the radius of R(α+p) for the class R(α+p−1).http://dx.doi.org/10.1155/S016117128200026Xp-valent starlike functionsp-valent close-to-convex functionsHadamard product. |
| spellingShingle | Anil K. Soni Generalizations of p-valent functions via the hadamard product International Journal of Mathematics and Mathematical Sciences p-valent starlike functions p-valent close-to-convex functions Hadamard product. |
| title | Generalizations of p-valent functions via the hadamard product |
| title_full | Generalizations of p-valent functions via the hadamard product |
| title_fullStr | Generalizations of p-valent functions via the hadamard product |
| title_full_unstemmed | Generalizations of p-valent functions via the hadamard product |
| title_short | Generalizations of p-valent functions via the hadamard product |
| title_sort | generalizations of p valent functions via the hadamard product |
| topic | p-valent starlike functions p-valent close-to-convex functions Hadamard product. |
| url | http://dx.doi.org/10.1155/S016117128200026X |
| work_keys_str_mv | AT anilksoni generalizationsofpvalentfunctionsviathehadamardproduct |