Gell-Mann-Low equation: Relation between the sixth-order vacuum polarization coefficients

Gorishny, Kataev, Larin, and Surguladze have obtained the fourth-order Gell-Mann-Low function psi(4) and the Callan-Symanzik function beta(4). In an earlier paper, we have used their result to establish a relationship between the fifth-order vacuum polarization coefficient b(5) and the fifth-order Gell-Mann-Low function psi(5). In this paper, the relationship between the sixth-order b(6) and psi(6) is obtained using the Gell-Mann-Low equation and other relations for the Gell-Mann-Low function.