Analysis Difference and Functional Equations Functional Analysis general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Recent Developments in Difference Equations
In this paper, we give a reduction formula for a specific
q
-integral. Our formula is expressed as a three term recurrence relations for basic hypergeometric
ϕ
2
3
series. This is a
q
-analog of work by Watson and by Bailey of 1953.