タンダ　ミカ   Tanda Mika   反田　美香    所属   追手門学院大学  大学所属    職種   講師
言語種別	英語
発行・発表の年月	2021/10
形態種別	論文
査読	査読あり
標題	The hypergeometric function, the confluent hypergeometric function and WKB solutions
執筆形態	共著・編著（代表編著を除く）
掲載誌名	JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
出版社・発行元	MATH SOC JAPAN
巻・号・頁	73(4),pp.1019-1062
著者・共著者	Takashi Aoki,Toshinori Takahashi,Mika Tanda
概要	Relations between the hypergeometric function with a large parameter and Borel sums of WKB solutions of the hypergeometric differential equation with the large parameter are established. The confluent hypergeometric function is also investigated from the viewpoint of exact WKB analysis. As applications, asymptotic expansion formulas for those classical special functions with respect to parameters are obtained.