A certain family of bi-univalent functions associated with the Pascal distribution series based upon the Horadam polynomials
The purpose of this article is to introduce a new subclass ℋΣ(δ,λ,m,θ,x) of analytic and bi-univalent functions by using the Horadam polynomials, which is associated with the Pascal distribution series and to investigate the bounds for |a2| and |a3|, where a2, a3 are the initial Taylor-Maclaurin coe...
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| Format: | Article |
| Language: | English |
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University Constantin Brancusi of Targu-Jiu
2021-02-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | https://www.utgjiu.ro/math/sma/v16/p16_10.pdf |
| _version_ | 1798024019906134016 |
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| author | H. M. Srivastava A. K. Wanas G. Murugusundaramoorthy |
| author_facet | H. M. Srivastava A. K. Wanas G. Murugusundaramoorthy |
| author_sort | H. M. Srivastava |
| collection | DOAJ |
| description | The purpose of this article is to introduce a new subclass ℋΣ(δ,λ,m,θ,x) of analytic and bi-univalent functions by using the Horadam polynomials, which is associated with the Pascal distribution series and to investigate the bounds for |a2| and |a3|, where a2, a3 are the initial Taylor-Maclaurin coefficients. Further we obtain the Fekete-Szegö inequality for functions in the class ℋΣ(δ,λ,m,θ,x) which we have introduced here. |
| first_indexed | 2024-04-11T17:55:54Z |
| format | Article |
| id | doaj.art-cc4791ef6f664e5ca5b0176061a1fc8f |
| institution | Directory Open Access Journal |
| issn | 1842-6298 1842-6298 |
| language | English |
| last_indexed | 2024-04-11T17:55:54Z |
| publishDate | 2021-02-01 |
| publisher | University Constantin Brancusi of Targu-Jiu |
| record_format | Article |
| series | Surveys in Mathematics and its Applications |
| spelling | doaj.art-cc4791ef6f664e5ca5b0176061a1fc8f2022-12-22T04:10:48ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1842-62981842-62982021-02-0116 (2021)193205A certain family of bi-univalent functions associated with the Pascal distribution series based upon the Horadam polynomialsH. M. Srivastava0A. K. Wanas1G. Murugusundaramoorthy2Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada. and Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan, Republic of China. and Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, AzerbaijanDepartment of Mathematics, College of Science, University of Al-Qadisiyah, Al Diwaniyah, Al-Qadisiyah, Iraq.Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (Deemed to be University), Vellore 632014, Tamil Nadu, India.The purpose of this article is to introduce a new subclass ℋΣ(δ,λ,m,θ,x) of analytic and bi-univalent functions by using the Horadam polynomials, which is associated with the Pascal distribution series and to investigate the bounds for |a2| and |a3|, where a2, a3 are the initial Taylor-Maclaurin coefficients. Further we obtain the Fekete-Szegö inequality for functions in the class ℋΣ(δ,λ,m,θ,x) which we have introduced here.https://www.utgjiu.ro/math/sma/v16/p16_10.pdfanalytic functionsunivalent functionsbi-univalent functionshoradam polynomialsupper boundsfekete-szegö problempascal distribution seriessubordination between analytic functions |
| spellingShingle | H. M. Srivastava A. K. Wanas G. Murugusundaramoorthy A certain family of bi-univalent functions associated with the Pascal distribution series based upon the Horadam polynomials Surveys in Mathematics and its Applications analytic functions univalent functions bi-univalent functions horadam polynomials upper bounds fekete-szegö problem pascal distribution series subordination between analytic functions |
| title | A certain family of bi-univalent functions associated with the Pascal distribution series based upon the Horadam polynomials |
| title_full | A certain family of bi-univalent functions associated with the Pascal distribution series based upon the Horadam polynomials |
| title_fullStr | A certain family of bi-univalent functions associated with the Pascal distribution series based upon the Horadam polynomials |
| title_full_unstemmed | A certain family of bi-univalent functions associated with the Pascal distribution series based upon the Horadam polynomials |
| title_short | A certain family of bi-univalent functions associated with the Pascal distribution series based upon the Horadam polynomials |
| title_sort | certain family of bi univalent functions associated with the pascal distribution series based upon the horadam polynomials |
| topic | analytic functions univalent functions bi-univalent functions horadam polynomials upper bounds fekete-szegö problem pascal distribution series subordination between analytic functions |
| url | https://www.utgjiu.ro/math/sma/v16/p16_10.pdf |
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