ID 110913
Author
Content Type
Departmental Bulletin Paper
Description
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.
Journal Title
Journal of Mathematics
ISSN
13467387
NCID
AA11595324
Volume
50
Start Page
49
End Page
60
Sort Key
49
Published Date
2016
EDB ID
FullText File
Thumnail jm_50_49.pdf 96.1 KB
language
eng
TextVersion
Publisher
departments
Science and Technology