Guseinov, Israfil Isa2025-01-272025-01-2720030948-5023https://doi.org/10.1007/s00894-002-0109-6https://hdl.handle.net/20.500.12428/26666Analytical properties of new complete orthonormal sets of Psi(alpha) exponential-type orbitals (Psi(alpha)-ETOs where alpha=1, 0, -1, -2, ...), introduced by the author as finite linear combinations of Slater-type orbitals (STOs), are studied. Addition and expansion theorems for Psi(alpha)-ETOs are obtained in both coordinate and momentum representations. Using expressions of Psi(alpha)-ETOs in terms of STOs, the new methods are suggested to calculate multicenter multielectron integrals over STOs.eninfo:eu-repo/semantics/closedAccessexponential-type orbitalsSlater-type orbitalsmulticenter integralsFourier transform methodArticle9313514110.1007/s00894-002-0109-6Q1WOS:0001840597000012-s2.0-014184643212687432Q2