Integral Representations of a Generalized Linear Hermite Functional
In this paper, we find new integral representations for the generalized Hermite linear functional in the real line and the complex plane. As an application, new integral representations for the Euler Gamma function are given.
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/14/3227 |
| _version_ | 1797588396983451648 |
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| author | Roberto S. Costas-Santos |
| author_facet | Roberto S. Costas-Santos |
| author_sort | Roberto S. Costas-Santos |
| collection | DOAJ |
| description | In this paper, we find new integral representations for the generalized Hermite linear functional in the real line and the complex plane. As an application, new integral representations for the Euler Gamma function are given. |
| first_indexed | 2024-03-11T00:51:24Z |
| format | Article |
| id | doaj.art-05ef1a9489614459b089db011de239e1 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T00:51:24Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-05ef1a9489614459b089db011de239e12023-11-18T20:22:28ZengMDPI AGMathematics2227-73902023-07-011114322710.3390/math11143227Integral Representations of a Generalized Linear Hermite FunctionalRoberto S. Costas-Santos0Department of Quantitative Methods, Universidad Loyola Andalucía, E-41704 Seville, SpainIn this paper, we find new integral representations for the generalized Hermite linear functional in the real line and the complex plane. As an application, new integral representations for the Euler Gamma function are given.https://www.mdpi.com/2227-7390/11/14/3227integral representationHermite functionsgeneralized hermite linear functionalgamma function |
| spellingShingle | Roberto S. Costas-Santos Integral Representations of a Generalized Linear Hermite Functional Mathematics integral representation Hermite functions generalized hermite linear functional gamma function |
| title | Integral Representations of a Generalized Linear Hermite Functional |
| title_full | Integral Representations of a Generalized Linear Hermite Functional |
| title_fullStr | Integral Representations of a Generalized Linear Hermite Functional |
| title_full_unstemmed | Integral Representations of a Generalized Linear Hermite Functional |
| title_short | Integral Representations of a Generalized Linear Hermite Functional |
| title_sort | integral representations of a generalized linear hermite functional |
| topic | integral representation Hermite functions generalized hermite linear functional gamma function |
| url | https://www.mdpi.com/2227-7390/11/14/3227 |
| work_keys_str_mv | AT robertoscostassantos integralrepresentationsofageneralizedlinearhermitefunctional |