%0 Journal Article %T One-Range Addition Theorems in Terms of Ψα -ETOs for STOs and Coulomb--Yukawa Like Correlated Interaction Potentials of Integer and Noninteger Indices %J 中国物理快报 %D 2008 %I %X The expansion formulas in terms of complete orthonormal sets of Ψα-exponential type orbitals are established for the Slater type orbitals and Coulomb--Yukawa-like correlated interaction potentials of integer and noninteger indices. These relations are used in obtaining their unsymmetrical and symmetrical one-range addition theorems. The final results are especially useful in the calculations of multicentre multielectron integrals occurring when Hartree--Fock--Roothaan and explicitly correlated methods are employed. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=1F580D9E2E7F1F906B8FDB4B367B4735&yid=67289AFF6305E306&vid=C5154311167311FE&iid=59906B3B2830C2C5&sid=461EFE3B9E224071&eid=DE66E200276DD6F9&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=0&reference_num=0