A familly of orthogonal polynomials is a sequence of polynomials in one variable, one in each degree, such that any two of them are orthogonal with respect to some fixed scalar product on the space of polynomials. They are closely related to continued fractions and useful in harmonic analysis. There are many different famillies of orthogonal polynomials, among which one can cite Hermite polynomials, Laguerre polynomials, and Jacobi polynomials.
5 years ago
Recent Hot AnswersMinimal polynomial with a given maximum in the unit interval
A conjectured formula for Apéry numbers
How does this relationship between the Catalan numbers and SU(2) generalize?
Where does the Chebyshev polynomial notation come from?
special-functions × 15
polynomials × 13
ca.analysis-and-odes × 10
real-analysis × 5
random-matrices × 3
co.combinatorics × 3
nt.number-theory × 3
integration × 3
recurrences × 2more related tags