Abstract

In this note integrals of the type I ij(t;k 1,k 2,k 3)= ∫ 0 t e k 3τ ρ i(τ;k 1)ρ j(t−τ;k 2) dτ, i,j=0,1, with ρ 0(t;k)=I 0(2 kt ), ρ 1(t;k)= k t I 1(2 kt ), will be evaluated. It is possible to expand I ij in a threefold power expansion in k 1 t, k 2 t, k 3 t, see (25). Moreover, it is also possible to expand these integrals into a single sum with Bessel functions I n and Laguerre polynomials L n , see (45) and (46).

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