Use of Recursion and Analytical Relations in Evaluation of Hypergeometric Functions Arising in Multicenter Integrals with Noninteger n Slater Type Orbitals
1.Department of Physics, Faculty of Arts and Sciences,Onsekiz Mart University,?anakkale,Turkey;2.Department of Physics, Faculty of Arts and Sciences,Gaziosmanpa?a University,Tokat,Turkey
Abstract:
In 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 The Author cordially congratulates Prof. I.I. Guseinov on his 70th birthday