**
M. R. Martinelli
**

##
Characteristic Functions and s-Orthogonality Properties of
Chebyshev Polynomials of Third and Fourth Kind

**abstract:**

The properties of two families of s-orthogonal polynomials, which are
connected with Chebyshev polynomials of third and fourth kind, are studied.
Evaluations of the remainders are given and asymptotic formulae are calculated
for the corresponding hyper-Gaussian formulae used for an approximate estimation
of integrals.