ID 110913
著者
資料タイプ
紀要論文
抄録
We show a connection formula of a linear q-differential equation satisfied by 1ϕ1(0; a; q, x). The basic hypergeometric series 1ϕ1(0; a; q, x) represents the Hahn-Exton q-Bessel function. Since the q-differential equation has a divergent series solution, a q-analogue of the Stokes phenomenon appears. We give a resummation procedure of the divergent series by means of the q-Borel-Laplace transformation of order 1/2.
掲載誌名
Journal of Mathematics
ISSN
13467387
cat書誌ID
AA11595324
50
開始ページ
49
終了ページ
60
並び順
49
発行日
2016
EDB ID
フルテキストファイル
Thumnail jm_50_49.pdf 96.1 KB
言語
eng
著者版フラグ
出版社版
部局
理工学系