2019/04/06 by Katsunori Iwasaki, Iwasaki, Katsunori
Mathematics · #Advanced Research in Science and Engineering
paper · pdf · doi:10.48550/arxiv.1904.03350
The leading asymptotics of the truncation error for Gauss's continued fraction is determined exactly. Not only for this purpose but also for wider applicability elsewhere the discrete analogue of Laplace's method for hypergeometric series containing a large parameter, which was developed in a previous paper, is generalized in two directions.