Self-Friction Power Series and Their Use for Construction of One-Range Addition Theorems of Noninteger Slater Functions and Coulomb-Yukawa Like Potentials

Guseinov I. I.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, vol.87, no.3, pp.405-408, 2017 (SCI-Expanded) identifier identifier


Using complete orthogonal L-l((p)*) -self-friction polynomials (L-l((p)*) -SFPs) in standard convention introduced by the author, the formulas for transformation of noninteger type functions to the power series are presented, where p(l)* - 2l + 2 - alpha* and alpha* is the integer (alpha* - alpha; -infinity < alpha <= 2) or noninteger ( alpha* not equal alpha; - infinity < alpha* < 3) SF quantum number. With the help of these power series, the one-center one-range addition theorems for chi-Slater type orbitals and V-Coulomb-Yukawa like potentials with noninteger indices (chi- NISTOs and V- NICYPs) are established. As an application, the atomic nuclear attraction integrals of chi- NISTOs and chi- NICYPs are investigated.