The new complete orthonormal sets of exponential‐type orbitals (ETOs) are introduced in
closed form as functions of the exponential, the complex or real regular solid spherical …

Research in numerical approximation theory introduces one to many great mathematicians,
such as the already mentioned Hankel, Sylvester, Schweins, Aitken, Wynn, Rutishauser, de …

In standard convention, the new complete orthonormal sets of ψ (α*)-exponential type
orbitals (ψ (α*)-ETOs) are introduced as functions of the complex or real spherical harmonics …

The spherical tensor gradient operator Y lm (∇), which is obtained by replacing the
Cartesian components of r by the Cartesian components of∇ in the regular solid harmonic Y …

Addition theorems can be constructed by doing three‐dimensional Taylor expansions
according to f (r+ r′)= exp (r′⋅∇) f (r). Since, however, one is normally interested in …

The evaluation of multicenter integrals for SCF computation with a Slater‐type orbitals
(STO's) basis set can be performed by expanding the atomic orbitals over a B function basis …

The present work is dedicated to the introduction of a new single‐center expansion method
derived from the Barnett and Coulson approach leading to reliable numerical algorithms …

A principal tool for the construction of the addition theorem of a function f is the translation
operator er′⋅∇, which generates f (r+ r′) by doing a three‐dimensional Taylor expansion …

The present work concerns the development of an extremely accurate and rapid algorithm
for the numerical evaluation of the three-centre nuclear attraction integrals over Slater-type …

Starting from one-range addition theorems for Slater-type functions, which are expansion in
terms of complete and orthonormal functions based on the generalized Laguerre …