Degenerate Function/Polynomial: A generalised function or polynomial in which a parameter is introduced to modify its standard form, thereby unifying or extending classical results.

The conditional variance function in a heteroscedastic, nonparametric regression model is estimated by linear smoothing of squared residuals. Attention is focused on local polynomial smoothers. Both ...

For polynomials of this type orthogonal with respect to a state, we prove a Favard-type recursion relation. On the other hand, free Sheffer polynomials are a polynomial family in non-commuting ...