Uniform convergence and numerical computation of the Hubbell radiation rectangular source integral

In this paper, we investigate uniform convergence of the improper Hubbell radiation rectangular source (HRS) integral H(a,b  ). We prove that HRS integral H(a,b)H(a,b) is uniform convergent in the domain D≔{(a,b)∈[0,A]×[0,∞)}D≔{(a,b)∈[0,A]×[0,∞)} for any positive finite number A. Then we give an accurate and efficient computation algorithm for the HRS integral.

► The uniform convergence properties of the Hubell radiation source integrals are investigated.
► The domain of the uniform convergency is given.
► A computation algorithm is given.