Certain Subclasses of Analytic Functions Associated with Generalized Telephone Numbers
The goal of this article is to contemplate coefficient estimates for a new class of analytic functions <i>f</i> associated with generalized telephone numbers to originate certain initial Taylor coefficient estimates and Fekete–Szegö inequality for <i>f</i> in the new function...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/5/1053 |
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| author | Gangadharan Murugusundaramoorthy Kaliappan Vijaya |
| author_facet | Gangadharan Murugusundaramoorthy Kaliappan Vijaya |
| author_sort | Gangadharan Murugusundaramoorthy |
| collection | DOAJ |
| description | The goal of this article is to contemplate coefficient estimates for a new class of analytic functions <i>f</i> associated with generalized telephone numbers to originate certain initial Taylor coefficient estimates and Fekete–Szegö inequality for <i>f</i> in the new function class. Comparable results have been attained for the function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>f</mi><mrow><mo>−</mo><mn>1</mn></mrow></msup><mo>.</mo></mrow></semantics></math></inline-formula> Further application of our outcomes to certain functions demarcated by convolution products with certain normalized analytic functions in the open unit disk are specified, and we obtain Fekete–Szegö variations for this new function class defined over Poisson and Borel distribution series. |
| first_indexed | 2024-03-10T01:43:32Z |
| format | Article |
| id | doaj.art-aae09241f4fc473cb36dc1022e9f91f9 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T01:43:32Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-aae09241f4fc473cb36dc1022e9f91f92023-11-23T13:20:38ZengMDPI AGSymmetry2073-89942022-05-01145105310.3390/sym14051053Certain Subclasses of Analytic Functions Associated with Generalized Telephone NumbersGangadharan Murugusundaramoorthy0Kaliappan Vijaya1School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamilnadu, IndiaSchool of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamilnadu, IndiaThe goal of this article is to contemplate coefficient estimates for a new class of analytic functions <i>f</i> associated with generalized telephone numbers to originate certain initial Taylor coefficient estimates and Fekete–Szegö inequality for <i>f</i> in the new function class. Comparable results have been attained for the function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>f</mi><mrow><mo>−</mo><mn>1</mn></mrow></msup><mo>.</mo></mrow></semantics></math></inline-formula> Further application of our outcomes to certain functions demarcated by convolution products with certain normalized analytic functions in the open unit disk are specified, and we obtain Fekete–Szegö variations for this new function class defined over Poisson and Borel distribution series.https://www.mdpi.com/2073-8994/14/5/1053analytic functionsconvex functionsstarlike functionssubordinationHadamard productFekete–Szegö inequality |
| spellingShingle | Gangadharan Murugusundaramoorthy Kaliappan Vijaya Certain Subclasses of Analytic Functions Associated with Generalized Telephone Numbers Symmetry analytic functions convex functions starlike functions subordination Hadamard product Fekete–Szegö inequality |
| title | Certain Subclasses of Analytic Functions Associated with Generalized Telephone Numbers |
| title_full | Certain Subclasses of Analytic Functions Associated with Generalized Telephone Numbers |
| title_fullStr | Certain Subclasses of Analytic Functions Associated with Generalized Telephone Numbers |
| title_full_unstemmed | Certain Subclasses of Analytic Functions Associated with Generalized Telephone Numbers |
| title_short | Certain Subclasses of Analytic Functions Associated with Generalized Telephone Numbers |
| title_sort | certain subclasses of analytic functions associated with generalized telephone numbers |
| topic | analytic functions convex functions starlike functions subordination Hadamard product Fekete–Szegö inequality |
| url | https://www.mdpi.com/2073-8994/14/5/1053 |
| work_keys_str_mv | AT gangadharanmurugusundaramoorthy certainsubclassesofanalyticfunctionsassociatedwithgeneralizedtelephonenumbers AT kaliappanvijaya certainsubclassesofanalyticfunctionsassociatedwithgeneralizedtelephonenumbers |