Unified treatment of nonrelativistic and quasirelativistic atomic integrals over complete orthonormal sets of Ψα-exponential type orbitals

The new one- and two-electron nonrelativistic and quasirelativistic basic functions are introduced. The general analytical relations in terms of basic functions suggested are derived for the non- and quasi-relativistic atomic integrals over complete orthonormal sets of Psi(alpha)-exponential type orbitals introduced by the author, where alpha=1, 0,-1,-2, ... The relationships obtained are valid for the arbitrary values of quantum numbers and screening constants of orbitals.