Applications of Beta Negative Binomial Distribution and Laguerre Polynomials on Ozaki Bi-Close-to-Convex Functions
In the present paper, due to beta negative binomial distribution series and Laguerre polynomials, we investigate a new family <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant=...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/11/9/451 |
| _version_ | 1797491213888126976 |
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| author | Isra Al-Shbeil Abbas Kareem Wanas Afis Saliu Adriana Cătaş |
| author_facet | Isra Al-Shbeil Abbas Kareem Wanas Afis Saliu Adriana Cătaş |
| author_sort | Isra Al-Shbeil |
| collection | DOAJ |
| description | In the present paper, due to beta negative binomial distribution series and Laguerre polynomials, we investigate a new family <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="script">F</mi><mi mathvariant="sans-serif">Σ</mi></msub><mrow><mo>(</mo><mi>δ</mi><mo>,</mo><mi>η</mi><mo>,</mo><mi>λ</mi><mo>,</mo><mi>θ</mi><mo>;</mo><mi>h</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> of normalized holomorphic and bi-univalent functions associated with Ozaki close-to-convex functions. We provide estimates on the initial Taylor–Maclaurin coefficients and discuss Fekete–Szegő type inequality for functions in this family. |
| first_indexed | 2024-03-10T00:44:14Z |
| format | Article |
| id | doaj.art-89a1974cef7844eaac059e26101de743 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T00:44:14Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-89a1974cef7844eaac059e26101de7432023-11-23T15:02:14ZengMDPI AGAxioms2075-16802022-09-0111945110.3390/axioms11090451Applications of Beta Negative Binomial Distribution and Laguerre Polynomials on Ozaki Bi-Close-to-Convex FunctionsIsra Al-Shbeil0Abbas Kareem Wanas1Afis Saliu2Adriana Cătaş3Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, JordanDepartment of Mathematics, College of Science, University of Al-Qadisiyah, Al Diwaniyah 58002, IraqDepartment of Mathematics, University of the Gambia, Birkama Campus, MDI Road, Kanifing Serrekunda P.O. Box 3530, The GambiaDepartment of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, RomaniaIn the present paper, due to beta negative binomial distribution series and Laguerre polynomials, we investigate a new family <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="script">F</mi><mi mathvariant="sans-serif">Σ</mi></msub><mrow><mo>(</mo><mi>δ</mi><mo>,</mo><mi>η</mi><mo>,</mo><mi>λ</mi><mo>,</mo><mi>θ</mi><mo>;</mo><mi>h</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> of normalized holomorphic and bi-univalent functions associated with Ozaki close-to-convex functions. We provide estimates on the initial Taylor–Maclaurin coefficients and discuss Fekete–Szegő type inequality for functions in this family.https://www.mdpi.com/2075-1680/11/9/451bi-univalent functionLaguerre polynomialcoefficient boundFekete–Szegő problembeta negative binomial distributionsubordination |
| spellingShingle | Isra Al-Shbeil Abbas Kareem Wanas Afis Saliu Adriana Cătaş Applications of Beta Negative Binomial Distribution and Laguerre Polynomials on Ozaki Bi-Close-to-Convex Functions Axioms bi-univalent function Laguerre polynomial coefficient bound Fekete–Szegő problem beta negative binomial distribution subordination |
| title | Applications of Beta Negative Binomial Distribution and Laguerre Polynomials on Ozaki Bi-Close-to-Convex Functions |
| title_full | Applications of Beta Negative Binomial Distribution and Laguerre Polynomials on Ozaki Bi-Close-to-Convex Functions |
| title_fullStr | Applications of Beta Negative Binomial Distribution and Laguerre Polynomials on Ozaki Bi-Close-to-Convex Functions |
| title_full_unstemmed | Applications of Beta Negative Binomial Distribution and Laguerre Polynomials on Ozaki Bi-Close-to-Convex Functions |
| title_short | Applications of Beta Negative Binomial Distribution and Laguerre Polynomials on Ozaki Bi-Close-to-Convex Functions |
| title_sort | applications of beta negative binomial distribution and laguerre polynomials on ozaki bi close to convex functions |
| topic | bi-univalent function Laguerre polynomial coefficient bound Fekete–Szegő problem beta negative binomial distribution subordination |
| url | https://www.mdpi.com/2075-1680/11/9/451 |
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