In this paper, we discuss asymptotic expansions for the Gauss hypergeometric function (2)F1(a + e(1)lambda, b + e(2)lambda; c + e(3)lambda; z), where e(j) = 0, +/- 1, as vertical bar lambda vertical bar -> infinity. We complete the results of two previous publications, extend the sectors of validity, and give more details on the computation of the coefficients.
- Hypergeometric function
- large parameter
- uniform asymptotic expansions