Orthogonal polynomials are typically given in terms of their recurrence coefficients $\{\alpha_k\}_{k=1}^n$, $\{\beta_k\}_{k=1}^n$ via $$ \begin{align*} &p_0(x) = 1,\\ &p_1(x) = \text{something},\\ &p_k(x) = (x - \alpha_k) p_{k-1}(x) - \beta_k p_{k-2}(x). \end{align*} $$ In this case, the leading coefficient is always $1$.
Sometimes, it is desirable to scale the polynomials such that, e.g., $\|p_n\|=1$ with an appropriate norm. In this case, the recurrence takes the form $$ p_k(x) = (c_k x - \alpha_k) p_{k-1}(x) - \beta_k p_{k-2}(x). $$ Is there a conventional symbol for the coefficient here named $c_k$?