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 | |
language |
eng
|
TextVersion |
Publisher
|
departments |
Science and Technology
|