Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions
To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator. The defined function class combines the concept of spiral-like functions with other studies pertaining to subclasses of multivalent...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/3444854 |
| _version_ | 1798001120602226688 |
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| author | Daniel Breaz Luminița-Ioana Cotîrlă Elangho Umadevi Kadhavoor R. Karthikeyan |
| author_facet | Daniel Breaz Luminița-Ioana Cotîrlă Elangho Umadevi Kadhavoor R. Karthikeyan |
| author_sort | Daniel Breaz |
| collection | DOAJ |
| description | To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator. The defined function class combines the concept of spiral-like functions with other studies pertaining to subclasses of multivalent meromorphic functions. Inclusion relations, integral representation, geometrical interpretation, coefficient estimates and solution to the Fekete-Szegö problem of the defined classes are the highlights of this present study. Further to keep up with the present direction of research, we extend the study using quantum calculus. Applications of our main results are given as corollaries. |
| first_indexed | 2024-04-11T11:31:04Z |
| format | Article |
| id | doaj.art-15937a3ef88545689bcc60062d873f76 |
| institution | Directory Open Access Journal |
| issn | 2314-8888 |
| language | English |
| last_indexed | 2024-04-11T11:31:04Z |
| publishDate | 2022-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj.art-15937a3ef88545689bcc60062d873f762022-12-22T04:26:09ZengHindawi LimitedJournal of Function Spaces2314-88882022-01-01202210.1155/2022/3444854Properties of Meromorphic Spiral-Like Functions Associated with Symmetric FunctionsDaniel Breaz0Luminița-Ioana Cotîrlă1Elangho Umadevi2Kadhavoor R. Karthikeyan3Department of MathematicsDepartment of MathematicsDepartment of Mathematics and StatisticsDepartment of Applied Mathematics and ScienceTo consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator. The defined function class combines the concept of spiral-like functions with other studies pertaining to subclasses of multivalent meromorphic functions. Inclusion relations, integral representation, geometrical interpretation, coefficient estimates and solution to the Fekete-Szegö problem of the defined classes are the highlights of this present study. Further to keep up with the present direction of research, we extend the study using quantum calculus. Applications of our main results are given as corollaries.http://dx.doi.org/10.1155/2022/3444854 |
| spellingShingle | Daniel Breaz Luminița-Ioana Cotîrlă Elangho Umadevi Kadhavoor R. Karthikeyan Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions Journal of Function Spaces |
| title | Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions |
| title_full | Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions |
| title_fullStr | Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions |
| title_full_unstemmed | Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions |
| title_short | Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions |
| title_sort | properties of meromorphic spiral like functions associated with symmetric functions |
| url | http://dx.doi.org/10.1155/2022/3444854 |
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