Chain sequences and zeros of polynomials related to a perturbed <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e2277" altimg="si7.svg"><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mi>I</mml:mi></mml:mrow></mml:msub></mml:math> type recurrence relation

In this manuscript, new algebraic and analytic aspects of the orthogonal polynomials satisfying $R_{II}$ type recurrence relation given by \begin{align*} \mathcal{P}_{n+1}(x) = (x-c_n)\mathcal{P}_n(x)-\lambda_n (x-a_n)(x-b_n)\mathcal{P}_{n-1}(x), \quad n \geq 0, \end{align*} where $\lambda_n$ is a positive chain sequence $a_n$, $b_n$, $c_n$ are sequences real or complex numbers with $\mathcal{P}_{-1}(x) 0$ $\mathcal{P}_0(x) 1$ investigated when coefficients perturbed. Specifically, representation perturbed (co-polynomials type) in terms original ones interlacing monotonicity properties zeros given. For finite perturbations, transfer matrix approach used to obtain structural relations. Effect co-dilation corresponding their consequences onto unit circle analysed. A particular perturbation called complementary its effect on Verblunsky also studied.