Note on Askey-Wilson $q$-Contour Integral Formula

Jian-Ping Fang


We use Askey-Wilson $q$-contour integral formula and the $q$-Saalsch\"{u}tz's summation to derive a new recurring $q$-contour integral formula in this paper. Using this formula, we present a simple proof of the Sears' transformation of terminating balanced $_4\Phi_3$ series.

Full Text:



Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

Copyright © Canadian Center of Science and Education

To make sure that you can receive messages from us, please add the '' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.