Abstract
We derive an integral over the m-dimensional unit hypercube that
generalizes Bessel’s integral for Jn(x). The integrand is G(xψ(t)) exp(−2π i
n · t), where G is analytic, and ψ(t) =e2πit1+. . .+e2πitm+e−2πi(t1+...+tm),
while n is a set of non-negative integers. In particular, we consider the case
when G is a hypergeometric function pFq.
| Original language | English |
|---|---|
| Journal | Taiwanese Journal of Mathematics |
| Volume | 11 |
| Issue number | 2 |
| Pages (from-to) | 289-294 |
| ISSN | 1027-5487 |
| Publication status | Published - 2007 |