Guseinov, Israfil Isa2025-01-272025-01-2720080219-6336https://doi.org/10.1142/S0219633608003691https://hdl.handle.net/20.500.12428/24960Using one-center expansion relations for the Slater type orbitals (STOs) of noninteger principal quantum numbers in terms of integer nSTOs derived in this study with the help of psi(a)-exponential type orbitals (psi(a)-ETOs, a = 1, 0,-1,-2, . . .), the general formulas through the integer nSTOs are established for the unsymmetrical and symmetrical one-range addition theorems for STOs and Coulomb-Yukawa-like correlated interaction potentials (CIPs) with integer and noninteger indices. The final results are especially useful for the computations of arbitrary multicenter multielectron integrals that arise in the Hartree-Fock-Roothaan (HFR) approximation and also in the correlated methods based upon the use of STOs as basis functions.eninfo:eu-repo/semantics/openAccessslater type orbitalscorrelated interaction potentialsone-range addition theoremsmulticenter multielectron integralsArticle7225726210.1142/S0219633608003691Q3WOS:0002549529000072-s2.0-43949119119N/A