Guseinov, Israfil Isa2025-01-272025-01-2720100259-9791https://doi.org/10.1007/s10910-009-9578-5https://hdl.handle.net/20.500.12428/21931The series expansion formulae in terms of complete orthonormal sets of I (alpha) -exponential type orbitals introduced by the author are derived for the two-center charge densities of integer and noninteger n generalized exponential functions. The expansion coefficients arising in these relations are the multicenter overlap integrals of three I (alpha) -functions. The charge density expansion formulae obtained are utilized for the evaluation of multicenter multielectron integrals appearing in the Hartree-Fock-Roothaan and explicitly correlated theories when the generalized exponential type orbitals are employed as basis functions.eninfo:eu-repo/semantics/closedAccessGeneralized exponential functionsPsi(alpha)-Exponential type orbitalsCharge densitiesMulticenter multielectron integralsArticle47138439010.1007/s10910-009-9578-5Q2WOS:0002731620000302-s2.0-72949087710Q2