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The 2(2s+1)-component relativistic basis spinors for the arbitrary spinparticles are established in position, momentum and four-dimensional spaces,where s=0,1 / 2,1, 3 / 2, 2, ... . These spinors for integral- andhalf-integral spins are reduced to the independent sets of one- andtwocomponent spinors, respectively. Relations presented in this study can beuseful in the linear combination of atomic orbitals approximation for thesolution of generalized Dirac equation of arbitrary spin particles introducedby the author when the orthogonal basis sets of relativistic exponential typespinor wave functions and Slater type spinor orbitals in position, momentum andfour -dimensional spaces are employed.

Combined Theory of Basis Sets of Spinors for Particles with Arbitrary Spin in Position, Momentum and Four-Dimensional Spaces