Computational aspects of incomplete gamma functions with large complex parameters. (English) Zbl 0821.65006
Zahar, R. V. M. (ed.), Approximation and computation: a Festschrift in honor of Walter Gautschi. Proceedings of the Purdue conference, West Lafayette, IN, USA, December 2-5, 1993. Boston, US: Birkhäuser. ISNM, Int. Ser. Numer. Math. 119, 551-562 (1994).
To compute the incomplete gamma functions:
several series expansions are introduced in this paper. Special considerations are given for asymptotic representations for large complex values of the parameter and .
|65D20||Computation of special functions, construction of tables|
|33B15||Gamma, beta and polygamma functions|
|41A60||Asymptotic approximations, asymptotic expansions (steepest descent, etc.)|