a Gaussian function? If not, I've never heard of "Gauß"...dextercioby said:Gauß
terp.asessed said:I've never heard of "Gauß"...
bhobba said:Its not something I know off the top of my head, but here is some detail:
http://math.stackexchange.com/questions/380345/connection-between-hermite-legendre-polynomials
Thanks
Bill
Hermite and Legendre polynomials are types of mathematical functions that are used in many areas of science and engineering, particularly in statistics and physics. They are named after mathematicians Charles Hermite and Adrien-Marie Legendre, who first studied and described them.
Hermite polynomials are a set of orthogonal polynomials, meaning that they are perpendicular to each other when graphed. They also have a specific recurrence relation, which allows for easy calculation of higher order polynomials.
Legendre polynomials have many applications in physics, particularly in solving problems involving spherical symmetry. They are also used in numerical methods for solving differential equations and in signal processing.
Hermite and Legendre polynomials are both types of orthogonal polynomials, meaning that they have similar properties and are used for similar purposes. However, they have different formulas and recurrence relations, and are typically used for different types of problems.
Aside from their different formulas and recurrence relations, the main difference between Hermite and Legendre polynomials is their application. Hermite polynomials are typically used in problems involving Gaussian distributions, while Legendre polynomials are used in problems involving spherical symmetry.