About a generalized class of close-to-convex functions defined by q-difference operator
In this paper we generalize the class of close-to-convex functions by the q-difference operator, for functions with negative coefficients and we study some properties of this generalized class. An analogue of the Pólya-Schoenberg conjecture is proved.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Editura Universităţii "Petru Maior"
2016-06-01
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| Series: | Scientific Bulletin of the ''Petru Maior" University of Tîrgu Mureș |
| Subjects: | |
| Online Access: | http://scientificbulletin.upm.ro/papers/2016-1/06%20About%20a%20generalized%20class%20EngelOlga.pdf |
| _version_ | 1798046244357013504 |
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| author | Olga Engel Cosmina Naicu |
| author_facet | Olga Engel Cosmina Naicu |
| author_sort | Olga Engel |
| collection | DOAJ |
| description | In this paper we generalize the class of close-to-convex functions by the q-difference operator, for functions with negative coefficients and we study some properties of this generalized class. An analogue of the Pólya-Schoenberg conjecture is proved. |
| first_indexed | 2024-04-11T23:34:33Z |
| format | Article |
| id | doaj.art-718c1fa93e574f4eadd93080d4616111 |
| institution | Directory Open Access Journal |
| issn | 1841-9267 2285-0945 |
| language | English |
| last_indexed | 2024-04-11T23:34:33Z |
| publishDate | 2016-06-01 |
| publisher | Editura Universităţii "Petru Maior" |
| record_format | Article |
| series | Scientific Bulletin of the ''Petru Maior" University of Tîrgu Mureș |
| spelling | doaj.art-718c1fa93e574f4eadd93080d46161112022-12-22T03:56:59ZengEditura Universităţii "Petru Maior"Scientific Bulletin of the ''Petru Maior" University of Tîrgu Mureș1841-92672285-09452016-06-0113 (XXX)13034About a generalized class of close-to-convex functions defined by q-difference operatorOlga Engel0Cosmina Naicu1Babes-Bolyai University, Cluj-Napoca, RomaniaBabes-Bolyai University, Cluj-Napoca, RomaniaIn this paper we generalize the class of close-to-convex functions by the q-difference operator, for functions with negative coefficients and we study some properties of this generalized class. An analogue of the Pólya-Schoenberg conjecture is proved.http://scientificbulletin.upm.ro/papers/2016-1/06%20About%20a%20generalized%20class%20EngelOlga.pdfclose-to-convex functionsq-derivativePólya-Schoenberg conjecture |
| spellingShingle | Olga Engel Cosmina Naicu About a generalized class of close-to-convex functions defined by q-difference operator Scientific Bulletin of the ''Petru Maior" University of Tîrgu Mureș close-to-convex functions q-derivative Pólya-Schoenberg conjecture |
| title | About a generalized class of close-to-convex functions defined by q-difference operator |
| title_full | About a generalized class of close-to-convex functions defined by q-difference operator |
| title_fullStr | About a generalized class of close-to-convex functions defined by q-difference operator |
| title_full_unstemmed | About a generalized class of close-to-convex functions defined by q-difference operator |
| title_short | About a generalized class of close-to-convex functions defined by q-difference operator |
| title_sort | about a generalized class of close to convex functions defined by q difference operator |
| topic | close-to-convex functions q-derivative Pólya-Schoenberg conjecture |
| url | http://scientificbulletin.upm.ro/papers/2016-1/06%20About%20a%20generalized%20class%20EngelOlga.pdf |
| work_keys_str_mv | AT olgaengel aboutageneralizedclassofclosetoconvexfunctionsdefinedbyqdifferenceoperator AT cosminanaicu aboutageneralizedclassofclosetoconvexfunctionsdefinedbyqdifferenceoperator |