Some transformations and integral representations of horn's functions
 Horn gave the general definition of hypergeometric functions of two variables. There are thirty four hypergeometric functions of two variables of this type. Fourteen functions are complete and the remaining twenty are the confluente cases. This includes the four Appell functions and seven Humbert...
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| Format: | Article |
| Language: | English |
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Universidad del Zulia
2011-02-01
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| Series: | Revista Técnica de la Facultad de Ingeniería |
| Online Access: | https://www.produccioncientificaluz.org/index.php/tecnica/article/view/5289 |
| _version_ | 1828092202141614080 |
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| author | V. Kim Tuan S. L. Kalla |
| author_facet | V. Kim Tuan S. L. Kalla |
| author_sort | V. Kim Tuan |
| collection | DOAJ |
| description | Â Horn gave the general definition of hypergeometric functions of two variables. There are thirty four hypergeometric functions of two variables of this type. Fourteen functions are complete and the remaining twenty are the confluente cases. This includes the four Appell functions and seven Humbert functions. In this work we obtain number of transformation formulae end integral representation; for Horn functions, The transformation formuIae for Gauss' hypergeometric function and Kummer function are used to obtain some new results. The results established here give some new formulae for analytic continuation of Horn function in various domains and to study their behaviour in the neighbourhood of singular points.
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| first_indexed | 2024-04-11T06:25:23Z |
| format | Article |
| id | doaj.art-a4264331fd874df4ac4f6042323a5091 |
| institution | Directory Open Access Journal |
| issn | 0254-0770 2477-9377 |
| language | English |
| last_indexed | 2024-04-11T06:25:23Z |
| publishDate | 2011-02-01 |
| publisher | Universidad del Zulia |
| record_format | Article |
| series | Revista Técnica de la Facultad de Ingeniería |
| spelling | doaj.art-a4264331fd874df4ac4f6042323a50912022-12-22T04:40:24ZengUniversidad del ZuliaRevista Técnica de la Facultad de Ingeniería0254-07702477-93772011-02-01101Some transformations and integral representations of horn's functionsV. Kim Tuan0S. L. Kalla1Bielorrusia State UniversityUniversidad del Zulia-Venezuela Horn gave the general definition of hypergeometric functions of two variables. There are thirty four hypergeometric functions of two variables of this type. Fourteen functions are complete and the remaining twenty are the confluente cases. This includes the four Appell functions and seven Humbert functions. In this work we obtain number of transformation formulae end integral representation; for Horn functions, The transformation formuIae for Gauss' hypergeometric function and Kummer function are used to obtain some new results. The results established here give some new formulae for analytic continuation of Horn function in various domains and to study their behaviour in the neighbourhood of singular points. https://www.produccioncientificaluz.org/index.php/tecnica/article/view/5289 |
| spellingShingle | V. Kim Tuan S. L. Kalla Some transformations and integral representations of horn's functions Revista Técnica de la Facultad de Ingeniería |
| title | Some transformations and integral representations of horn's functions |
| title_full | Some transformations and integral representations of horn's functions |
| title_fullStr | Some transformations and integral representations of horn's functions |
| title_full_unstemmed | Some transformations and integral representations of horn's functions |
| title_short | Some transformations and integral representations of horn's functions |
| title_sort | some transformations and integral representations of horn s functions |
| url | https://www.produccioncientificaluz.org/index.php/tecnica/article/view/5289 |
| work_keys_str_mv | AT vkimtuan sometransformationsandintegralrepresentationsofhornsfunctions AT slkalla sometransformationsandintegralrepresentationsofhornsfunctions |