Use of recursion and analytical relations in evaluation of hypergeometric functions arising in multicenter integrals with noninteger n Slater type orbitals

Guseinov, Israfil IsaMamedov, BA2025-01-272025-01-2720050259-9791https://doi.org/10.1007/s10910-005-6904-4https://hdl.handle.net/20.500.12428/28221In this work we present the new recursion and analytical relations for the calculation of hypergeometric functions F(1,b;c;z) occurring in multicenter integrals of noninteger n Slater type orbitals. The formulas obtained are numerically stable for 0 < z < 1 and all integer and noninteger values of parameters b and c.eninfo:eu-repo/semantics/closedAccesshypergeometric functionsSlater type orbitalsmulticenter integralsUse of recursion and analytical relations in evaluation of hypergeometric functions arising in multicenter integrals with noninteger n Slater type orbitalsArticle38451151710.1007/s10910-005-6904-4Q2WOS:0002327936000092-s2.0-61849139214Q2