Multivalent Prestarlike Functions with Respect to Symmetric Points
A class of <i>p</i>-valent functions of complex order is defined with the primary motive of unifying the concept of prestarlike functions with various other classes of multivalent functions. Interesting properties such as inclusion relations, integral representation, coefficient estimate...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/1/20 |
| _version_ | 1797490169145720832 |
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| author | Daniel Breaz Kadhavoor R. Karthikeyan Alagiriswamy Senguttuvan |
| author_facet | Daniel Breaz Kadhavoor R. Karthikeyan Alagiriswamy Senguttuvan |
| author_sort | Daniel Breaz |
| collection | DOAJ |
| description | A class of <i>p</i>-valent functions of complex order is defined with the primary motive of unifying the concept of prestarlike functions with various other classes of multivalent functions. Interesting properties such as inclusion relations, integral representation, coefficient estimates and the solution to the Fekete–Szegő problem are obtained for the defined function class. Further, we extended the results using quantum calculus. Several consequences of our main results are pointed out. |
| first_indexed | 2024-03-10T00:27:10Z |
| format | Article |
| id | doaj.art-eec002f87c384225af63188ebed9a20f |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T00:27:10Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-eec002f87c384225af63188ebed9a20f2023-11-23T15:32:08ZengMDPI AGSymmetry2073-89942021-12-011412010.3390/sym14010020Multivalent Prestarlike Functions with Respect to Symmetric PointsDaniel Breaz0Kadhavoor R. Karthikeyan1Alagiriswamy Senguttuvan2Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, G. Bethlen Street, No. 5-8, 510009 Alba Iulia, RomaniaDepartment of Applied Mathematics and Science, National University of Science & Technology (By Merger of Caledonian College of Engineering and Oman Medical College), Muscat P.O. Box 620, OmanDepartment of Applied Mathematics and Science, National University of Science & Technology (By Merger of Caledonian College of Engineering and Oman Medical College), Muscat P.O. Box 620, OmanA class of <i>p</i>-valent functions of complex order is defined with the primary motive of unifying the concept of prestarlike functions with various other classes of multivalent functions. Interesting properties such as inclusion relations, integral representation, coefficient estimates and the solution to the Fekete–Szegő problem are obtained for the defined function class. Further, we extended the results using quantum calculus. Several consequences of our main results are pointed out.https://www.mdpi.com/2073-8994/14/1/20multivalent functionsJackson’s <i>q</i>-derivative operatorprestarlikestarlike and convex functionssubordinationFekete–Szegő problem |
| spellingShingle | Daniel Breaz Kadhavoor R. Karthikeyan Alagiriswamy Senguttuvan Multivalent Prestarlike Functions with Respect to Symmetric Points Symmetry multivalent functions Jackson’s <i>q</i>-derivative operator prestarlike starlike and convex functions subordination Fekete–Szegő problem |
| title | Multivalent Prestarlike Functions with Respect to Symmetric Points |
| title_full | Multivalent Prestarlike Functions with Respect to Symmetric Points |
| title_fullStr | Multivalent Prestarlike Functions with Respect to Symmetric Points |
| title_full_unstemmed | Multivalent Prestarlike Functions with Respect to Symmetric Points |
| title_short | Multivalent Prestarlike Functions with Respect to Symmetric Points |
| title_sort | multivalent prestarlike functions with respect to symmetric points |
| topic | multivalent functions Jackson’s <i>q</i>-derivative operator prestarlike starlike and convex functions subordination Fekete–Szegő problem |
| url | https://www.mdpi.com/2073-8994/14/1/20 |
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