FEW-BODY SYSTEMS, vol.54, no.11, pp.1773-1780, 2013 (SCI-Expanded)
By the use of complete orthonormal sets of -exponential type orbitals ( -ETOs) with integer (for alpha (*) = alpha) and noninteger self-frictional quantum number alpha (*)(for alpha (*) not equal alpha) in standard convention introduced by the author, the one-range addition theorems for -noninteger n Slater type orbitals -NISTOs) are established. These orbitals are defined as follows