Quasipotential wave functions of a relativistic harmonic oscillator and Pollaczek polynomials

To construct the radial part of the wave function in the quasipotential model of a relativistic harmonic oscillator, modified Pollaczek polynomials $\mathscr{P}_n^{\lambda;l}(r)$ with parameters $\lambda>0$ and $l=0,1,2,\dots$ are introduced. An orthogonality condition, the generating function, and various recursion relations are obtained. It is shown that in the limiting case when $\lambda\rightarrow\infty$ the polynomials $\mathscr{P}_n^{\lambda;l}(r)$ go over into generalized Laguerre polynomials.