Some generalised radiation field integrals

In this paper, two families of integrals that are generalisations of the radiation field integrals are considered: and where μ, ν, λ and λʹ are arbitrary constants except that ν ≠ 0, −1, −2,…, and ø(μ,ν;x) is the confluent hypergeometric function of the first kind. They are expressed in the form of an infinite series and the corresponding coefficients are evaluated. Some particular cases are mentioned. Algorithms for the tabulation of these integrals are developed and tables (with better precision than those available in the literature) for numerical values have been obtained for some parameter values.