Use of Modified Self-Frictional Laguerre Power Series for Study of Atomic Nuclear Attraction Integrals of Noninteger Slater-Type Orbitals and Coulomb–Yukawa-Like Potentials

Abstract

Abstract Using complete orthonormal L(α*)-modified self-frictional Laguerre polynomials (L(α*)-MSFLPs) in standard convention introduced by the author, the expressions for transformation of χ-noninteger Slater type orbitals (χ-NISTOs) and V-noninteger Coulomb–Yukawa-like potentials (V-NICYPs) to the MSF Laguerre power series are suggested, where α* are the integer (α* = α, −∞ < α ≤ 2) or noninteger (α* ≠ α, −∞ < α* < 3) SF quantum numbers. By the use of these power series, the atomic nuclear attraction integrals of χ-NISTOs and V-NICYPs are evaluated. The convergence and accuracy of obtained MSF Laguerre power series are tested by calculating concrete cases.