Fast evaluation of molecular auxiliary functions A? and Bn by analytical relations

Analytical relations through the initial values are derived for the molecular auxiliary functions A(alpha)(x) and B-n(x), where alpha = n + epsilon, 0 <= epsilon < 1 and n = 0, 1, 2,.... These relations are useful in the fast calculation of multicenter molecular integrals over integer and noninteger n Slater type orbitals. It is shown that the formulas obtained are numerically stable for all values of n, epsilon and x.