Starlike Functions of the Miller–Ross-Type Poisson Distribution in the Janowski Domain
In this paper, considering the various important applications of Miller–Ross functions in the fields of applied sciences, we introduced a new class of analytic functions <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics>...
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MDPI AG
2024-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/6/795 |
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| author | Gangadharan Murugusundaramoorthy Hatun Özlem Güney Daniel Breaz |
| author_facet | Gangadharan Murugusundaramoorthy Hatun Özlem Güney Daniel Breaz |
| author_sort | Gangadharan Murugusundaramoorthy |
| collection | DOAJ |
| description | In this paper, considering the various important applications of Miller–Ross functions in the fields of applied sciences, we introduced a new class of analytic functions <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>,</mo></mrow></semantics></math></inline-formula> utilizing the concept of Miller–Ross functions in the region of the Janowski domain. Furthermore, we obtained initial coefficients of Taylor series expansion of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>,</mo></mrow></semantics></math></inline-formula> coefficient inequalities for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>f</mi><mrow><mo>−</mo><mn>1</mn></mrow></msup></semantics></math></inline-formula> and the Fekete–Szegö problem. We also covered some key geometric properties for functions <i>f</i> in this newly formed class, such as the necessary and sufficient condition, convex combination, sequential subordination and partial sum findings. |
| first_indexed | 2024-04-24T18:02:26Z |
| format | Article |
| id | doaj.art-47a94100e9fd4da1b646707550ed3ecc |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-04-24T18:02:26Z |
| publishDate | 2024-03-01 |
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| series | Mathematics |
| spelling | doaj.art-47a94100e9fd4da1b646707550ed3ecc2024-03-27T13:52:56ZengMDPI AGMathematics2227-73902024-03-0112679510.3390/math12060795Starlike Functions of the Miller–Ross-Type Poisson Distribution in the Janowski DomainGangadharan Murugusundaramoorthy0Hatun Özlem Güney1Daniel Breaz2Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT), Vellore 632014, IndiaDepartment of Mathematics, Faculty of Science, Dicle University, Diyarbakır 21280, TürkiyeDepartment of Exact Sciences and Engineering, Universitatea 1 Decembrie 1918 din Alba Iulia, 510009 Alba Iulia, RomaniaIn this paper, considering the various important applications of Miller–Ross functions in the fields of applied sciences, we introduced a new class of analytic functions <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>,</mo></mrow></semantics></math></inline-formula> utilizing the concept of Miller–Ross functions in the region of the Janowski domain. Furthermore, we obtained initial coefficients of Taylor series expansion of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>,</mo></mrow></semantics></math></inline-formula> coefficient inequalities for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>f</mi><mrow><mo>−</mo><mn>1</mn></mrow></msup></semantics></math></inline-formula> and the Fekete–Szegö problem. We also covered some key geometric properties for functions <i>f</i> in this newly formed class, such as the necessary and sufficient condition, convex combination, sequential subordination and partial sum findings.https://www.mdpi.com/2227-7390/12/6/795analytic functionstarlike functionsubordinationFekete–Szegö inequalityMiller–Ross distribution series |
| spellingShingle | Gangadharan Murugusundaramoorthy Hatun Özlem Güney Daniel Breaz Starlike Functions of the Miller–Ross-Type Poisson Distribution in the Janowski Domain Mathematics analytic function starlike function subordination Fekete–Szegö inequality Miller–Ross distribution series |
| title | Starlike Functions of the Miller–Ross-Type Poisson Distribution in the Janowski Domain |
| title_full | Starlike Functions of the Miller–Ross-Type Poisson Distribution in the Janowski Domain |
| title_fullStr | Starlike Functions of the Miller–Ross-Type Poisson Distribution in the Janowski Domain |
| title_full_unstemmed | Starlike Functions of the Miller–Ross-Type Poisson Distribution in the Janowski Domain |
| title_short | Starlike Functions of the Miller–Ross-Type Poisson Distribution in the Janowski Domain |
| title_sort | starlike functions of the miller ross type poisson distribution in the janowski domain |
| topic | analytic function starlike function subordination Fekete–Szegö inequality Miller–Ross distribution series |
| url | https://www.mdpi.com/2227-7390/12/6/795 |
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