The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
On the contiguous relations of hypergeometric series
Journal of Computational and Applied Mathematics
Contiguous relations and their computations for F12 hypergeometric series
Computers & Mathematics with Applications
Real zeros of 2F1 hypergeometric polynomials
Journal of Computational and Applied Mathematics
| Hi-index | 0.00 |
The 15 Gauss contiguous relations for 2F1 hypergeometric series imply that any three 2F1 series whose corresponding parameters differ by integers are linearly related (over the field of rational functions in the parameters). We prove several properties of coefficients of these general contiguous relations, and use the results to propose effective ways to compute contiguous relations. We also discuss contiguous relations of generalized and basic hypergeometric functions, and several applications of them.