Guseinov, Israfil IsaMamedov, B. A.2025-01-272025-01-2720080259-9791https://doi.org/10.1007/s10910-007-9240-zhttps://hdl.handle.net/20.500.12428/22702In this paper, by the use of complete orthonormal sets of psi(alpha) exponential-type orbitals (Psi(alpha)-ETOs, alpha = 1, 0, -1,-2,...), the series expansion formulas in line-up coordinate systems are established for the overlap integrals with noninteger n* Slater-type orbitals (NISTOs) in terms of overlap integrals over integer n Slater-type orbitals (ISTOs). The suggested approach guarantees a highly accurate calculation of the noninteger n* overlap integrals with arbitrary values of parameters. The results of computer calculations presented are in a complete agreement with those obtained in the literature using the alternative procedure.eninfo:eu-repo/semantics/closedAccessSlater type orbitalsexponential type orbitalsoverlap integralsnoninteger principal quantum numbersArticle4341527153210.1007/s10910-007-9240-zQ2WOS:0002556293000172-s2.0-43249125781Q2