Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series
The present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT). The uniqueness lies in utilizing a generalized discrete probability distribution and a zero-truncated Poisson distribution combined with ge...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-07-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_710537_0116b3feef3733f6887f884a3572aef9.pdf |
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| author | Tunji Ibrahim Awolere Abiodun Tinuoye Oladipo Şahsene Altınkaya |
| author_facet | Tunji Ibrahim Awolere Abiodun Tinuoye Oladipo Şahsene Altınkaya |
| author_sort | Tunji Ibrahim Awolere |
| collection | DOAJ |
| description | The present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT). The uniqueness lies in utilizing a generalized discrete probability distribution and a zero-truncated Poisson distribution combined with generalized Gegenbauer polynomials featuring two variables. We aim to obtain coefficient bounds, the classical Fekete-Szegö inequality, and Hankel and Toeplitz determinants to generalize the probability of a gambler's ruin. Additionally, using the defined bi-univalent function classes contributes to the uniqueness of the obtained results. |
| format | Article |
| id | doaj-art-0b9654923029490bad1fd726fd6118bb |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-0b9654923029490bad1fd726fd6118bb2025-02-11T05:27:30ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-07-01213658810.22130/scma.2024.1987464.1235710537Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution SeriesTunji Ibrahim Awolere0Abiodun Tinuoye Oladipo1Şahsene Altınkaya2Department of Mathematical Science, Olusegun Agagu University of Science and Technology, Okiti Pupa, Ondo State, Nigeria.Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, P.M.B. 4000, Ogbomoso, Oyo State, Nigeria.Department of Mathematics, Faculty of Arts and Science, Istanbul Beykent University, 34500, Istanbul, Türkiye.The present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT). The uniqueness lies in utilizing a generalized discrete probability distribution and a zero-truncated Poisson distribution combined with generalized Gegenbauer polynomials featuring two variables. We aim to obtain coefficient bounds, the classical Fekete-Szegö inequality, and Hankel and Toeplitz determinants to generalize the probability of a gambler's ruin. Additionally, using the defined bi-univalent function classes contributes to the uniqueness of the obtained results.https://scma.maragheh.ac.ir/article_710537_0116b3feef3733f6887f884a3572aef9.pdfbi-univalent functiongegenbauer polynomialsdiscrete probabilityhankel and toeplitz determinantszero-truncated-poisson series |
| spellingShingle | Tunji Ibrahim Awolere Abiodun Tinuoye Oladipo Şahsene Altınkaya Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series Sahand Communications in Mathematical Analysis bi-univalent function gegenbauer polynomials discrete probability hankel and toeplitz determinants zero-truncated-poisson series |
| title | Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series |
| title_full | Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series |
| title_fullStr | Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series |
| title_full_unstemmed | Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series |
| title_short | Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series |
| title_sort | application of gegenbauer polynomials with two variables to bi univalency of generalized discrete probability distribution via zero truncated poisson distribution series |
| topic | bi-univalent function gegenbauer polynomials discrete probability hankel and toeplitz determinants zero-truncated-poisson series |
| url | https://scma.maragheh.ac.ir/article_710537_0116b3feef3733f6887f884a3572aef9.pdf |
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