Note on λ- pseudo bi-starlike and bi-convex functions related with sine functions
In this paper we introduce two new classes ℬΣλ(μ) of λ-pseudo bi-starlike functions and 𝒦ℬΣλ(μ) of λ-pseudo bi-convex functions. Also, we determine the bounds for |a2| and |a3| where a2, a3 are the initial Taylor coefficients of f∈ℬΣλ(μ) and f∈𝒦ℬΣλ(μ), respectively. Furthermore, we estimate the Fek...
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| Format: | Article |
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University Constantin Brancusi of Targu-Jiu
2025-04-01
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| Series: | Surveys in Mathematics and its Applications |
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| Online Access: | https://www.utgjiu.ro/math/sma/v20/p20_12.pdf |
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| author | Kaliyappan Vijaya Gangadharan Murugusundaramoorthy Hatun Özlem Güney |
| author_facet | Kaliyappan Vijaya Gangadharan Murugusundaramoorthy Hatun Özlem Güney |
| author_sort | Kaliyappan Vijaya |
| collection | DOAJ |
| description | In this paper we introduce two new classes ℬΣλ(μ) of λ-pseudo bi-starlike functions and 𝒦ℬΣλ(μ) of λ-pseudo bi-convex functions. Also, we determine the bounds for |a2| and |a3| where a2, a3 are the initial Taylor coefficients of f∈ℬΣλ(μ) and f∈𝒦ℬΣλ(μ), respectively. Furthermore, we estimate the Fekete-Szegö functionals for the functions in these classes. |
| format | Article |
| id | doaj-art-bef63902767c4e098d202eca0d5aaa48 |
| institution | OA Journals |
| issn | 1843-7265 1842-6298 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | University Constantin Brancusi of Targu-Jiu |
| record_format | Article |
| series | Surveys in Mathematics and its Applications |
| spelling | doaj-art-bef63902767c4e098d202eca0d5aaa482025-08-20T02:07:40ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982025-04-0120 (2025)235250Note on λ- pseudo bi-starlike and bi-convex functions related with sine functions Kaliyappan Vijaya0Gangadharan Murugusundaramoorthy1Hatun Özlem Güney2Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (Deemed to be University), Vellore-632014. IndiaDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (Deemed to be University), Vellore-632014. IndiaDicle University, Faculty of Science, Department of Mathematics, Diyarbak\i r-Türk\.iye. In this paper we introduce two new classes ℬΣλ(μ) of λ-pseudo bi-starlike functions and 𝒦ℬΣλ(μ) of λ-pseudo bi-convex functions. Also, we determine the bounds for |a2| and |a3| where a2, a3 are the initial Taylor coefficients of f∈ℬΣλ(μ) and f∈𝒦ℬΣλ(μ), respectively. Furthermore, we estimate the Fekete-Szegö functionals for the functions in these classes.https://www.utgjiu.ro/math/sma/v20/p20_12.pdfanalytic functionstarlike functionconvex functionbi-univalent functionsine functionsubordination |
| spellingShingle | Kaliyappan Vijaya Gangadharan Murugusundaramoorthy Hatun Özlem Güney Note on λ- pseudo bi-starlike and bi-convex functions related with sine functions Surveys in Mathematics and its Applications analytic function starlike function convex function bi-univalent function sine function subordination |
| title | Note on λ- pseudo bi-starlike and bi-convex functions related with sine functions |
| title_full | Note on λ- pseudo bi-starlike and bi-convex functions related with sine functions |
| title_fullStr | Note on λ- pseudo bi-starlike and bi-convex functions related with sine functions |
| title_full_unstemmed | Note on λ- pseudo bi-starlike and bi-convex functions related with sine functions |
| title_short | Note on λ- pseudo bi-starlike and bi-convex functions related with sine functions |
| title_sort | note on λ pseudo bi starlike and bi convex functions related with sine functions |
| topic | analytic function starlike function convex function bi-univalent function sine function subordination |
| url | https://www.utgjiu.ro/math/sma/v20/p20_12.pdf |
| work_keys_str_mv | AT kaliyappanvijaya noteonlpseudobistarlikeandbiconvexfunctionsrelatedwithsinefunctions AT gangadharanmurugusundaramoorthy noteonlpseudobistarlikeandbiconvexfunctionsrelatedwithsinefunctions AT hatunozlemguney noteonlpseudobistarlikeandbiconvexfunctionsrelatedwithsinefunctions |