Combined theory of one- and two-electron bipolar and polar multicenter integrals of noninteger n Slater functions and Coulomb-Yukawa-like potentials with noninteger indices

By the use of one-range addition theorems suggested by the author, the combined theory for one- and two-electron multicenter integrals of chi -noninteger n Slater type orbitals (chi -NISTOs) and bipolar and polar noninteger Coulomb (C-NIBPs and C-NIPs) -Yukawa (Y-NIBPs and Y-NIPs)-like correlated potentials is presented. These multicenter integrals are expressed through the basic polar integrals of chi -integer n Slater type orbitals (chi -ISTOs) and Coulomb-Yukawa-like potentials with integer indices (C-IPs and Y-IPs). We note that the noninteger quantum number n is defined as n*.