Recurrence relations for the Epstein-Hubbell integral and its generalized forms

The generalized Epstein-Hubbell integral was recently considered by López and Ferreira (IMA J. Appl. Math. 67 (2002) 301) for values of the variable k close to its upper limit k=1. Here different forms of the generalized Epstein-Hubbell integral Λ(λ,γ,μ)(α,β)(ρ,δ,k) proposed by Kalla and Tuan (Comput. Math. Appl. 32 (1996) 49) are considered for values of the variable k=1. The numerical values of Sμ, Rμ and Pμ at k=1 are calculated by using the derived recurrence relations and are listed in tables.