Details:
| Title | Transformations of some Gauss hypergeometric functions | | Author(s) | Raimundas Vidūnas | | Type | Article in Journal | | Abstract | This paper presents explicit algebraic transformations of some Gauss hypergeometric functions. Specifically, the transformations considered apply to hypergeometric solutions of hypergeometric differential equations with the local exponent differences 1 / k , 1 / ℓ , 1 / m such that k , ℓ , m are positive integers and 1 / k + 1 / ℓ + 1 / m < 1 . All algebraic transformations of these Gauss hypergeometric functions are considered. We show that apart from classical transformations of degree 2, 3, 4, 6 there are several other transformations of degree 6, 8, 9, 10, 12, 18, 24. Besides, we present an algorithm to compute relevant Belyi functions explicitly. | | Keywords | Gauss hypergeometric function, Algebraic transformation, Belyi function | | ISSN | 0377-0427 |
| URL |
http://www.sciencedirect.com/science/article/pii/S0377042704004625 |
| Language | English | | Journal | Journal of Computational and Applied Mathematics | | Volume | 178 | | Number | 1–2 | | Pages | 473 - 487 | | Year | 2005 | | Note | Proceedings of the Seventh International Symposium on Orthogonal Polynomials,Special Functions and Applications | | Edition | 0 | | Translation |
No | | Refereed |
No |
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