19 citations · 28 across the 13 of their papers we have counts for
13 papers
New complete orthonormal sets of exponential type orbitals in standard convention and their origin
I. I. Guseinov
In standard convention, the new complete orthonrmal sets of exponential type orbitals (ETOs) are introduced as functions of the complex or real spherical harmonics and modified and…
Combined Theory of Basis Sets of Spinors for Particles with Arbitrary Spin in Position, Momentum and Four-Dimensional Spaces
I. I. Guseinov
The 2(2s+1)-component relativistic basis spinors for the arbitrary spin particles are established in position, momentum and four-dimensional spaces, where s=0,1 / 2,1, 3 / 2, 2, ..…
New development in theory of Laguerre polynomials
I. I. Guseinov
The new complete orthonormal sets of -Laguerre type polynomials (-LTP,) are suggested. Using Schrödinger equation for complete orthonormal sets of -exponential type orbitals (-ETO)…
New development in evaluation of three-center nuclear attraction integrals over Slater type orbitals
Israfil I. Guseinov, Nimet Zaim, Nursen Seckin Goorgun
Three-center nuclear attraction integrals with Slater type orbitals (STOs) appearing in the Hartree-Fock-Roothaan (HFR) equations for molecules are evaluated using one-range additi…
Unified treatment of complex and real rotation-angular functions for two-center overlap integrals over arbitrary atomic orbitals
I. I. Guseinov
The new combined formulas have been established for the complex and real rotation-angular functions arising in the evaluation of two-center overlap integrals over arbitrary atomic…
Expansion and one-range addition theorems for complete orthonormal sets of spinor wave functions and Slater spinor orbitals of arbitrary half-integral spin in position, momentum and four-dimensional spaces
I. I. Guseinov
The analytical relations in position, momentum and four-dimensional spaces are established for the expansion and one-range addition theorems of relativistic complete orthonormal se…