ヤマダ　ヒロフミ   Hirofumi Yamada   山田　宏文    所属   千葉工業大学  情報変革科学部 教育センター（情報変革科学部）    職種   教授
言語種別	英語
発行・発表の年月	2016/11
形態種別	学術雑誌
査読	査読あり
標題	Generalized binomial transform applied to the divergent series
執筆形態	単著
掲載誌名	Acta Physica Polonica B (2016) 2413
掲載区分	国外
出版社・発行元	Jagiellonian University
巻・号・頁	47(11),pp.2413-2444
概要	The divergent series for a function defined through Lapalce integral and the ground state energy of the quartic anharmonic oscillator to large orders are studied to test the generalized binomial transform which is the renamed version of delta-expansion proposed recently. We show that, by the use of the generalized binomial transform, the values of functions in the limit of zero of an argument is approximately computable from the series expansion around the infinity of the same argument. In the Laplace integral, we investigate the subject in detail with the aid of Mellin transform. In the anharmonic oscillator, we compute the strong coupling limit of the ground state energy and also the expansion coefficients at strong coupling from the weak coupling perturbation series. The obtained result is compared with that of the linear delta expansion.