On sieved orthogonal polynomials. III. Orthogonality on several intervals
On sieved orthogonal polynomials. III. Orthogonality on several intervals
We introduce two generalizations of Chebyshev polynomials. The continuous spectrum of either is <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="StartSet x colon minus 2 StartRoot c EndRoot slash left-parenthesis 1 plus c right-parenthesis less-than-or-slanted-equals upper T Subscript k Baseline left-parenthesis x right-parenthesis less-than-or-slanted-equals 2 StartRoot c EndRoot slash left-parenthesis 1 plus c …