UNIFIED TREATMENT OF ONE- AND TWO-CENTER ONE-RANGE ADDITION THEOREMS FOR COMPLETE ORTHONORMAL SETS OF SELF-FRICTIONAL EXPONENTIAL TYPE ORBITALS AND NONINTEGER n SLATER FUNCTIONS

ABSTRACT Using L ( α* ) -self-frictional Laguerre polynomials ( L ( α* ) -SFLPs) introduced by the author in standard convention, the combined theory of one- and two-center one-range addition theorems for complete orthonormal sets of ψ ( α* ) -self-frictional exponential type orbitals ( ψ ( ) -SFETOs) and χ -noninteger n Slater type orbitals ( -NISTOs) in terms of χ -integer n STOs ( χ -ISTOs) is established, where α* are the integer ( αα α*, 2= −∞ =+ ∑∑ possesses a characteristic two-range form, where