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

Using complete orthonormal L-(alpha*)-modified self-frictional Laguerre polynomials (L-(alpha*)-MSFLPs) in standard convention introduced by the author, the expressions for transformation of chi-noninteger Slater type orbitals (chi-NISTOs) and V-noninteger Coulomb-Yukawa-like potentials (V-NICYPs) to the MSF Laguerre power series are suggested, where alpha* are the integer (alpha* = alpha, -infinity < alpha <= 2) or noninteger (alpha* not equal alpha, -infinity < alpha* < 3) SF quantum numbers. By the use of these power series, the atomic nuclear attraction integrals of chi-NISTOs and V-NICYPs are evaluated. The convergence and accuracy of obtained MSF Laguerre power series are tested by calculating concrete cases.