In mathematics, the Legendre functions Pλ, Qλ and associated Legendre functions P{su|p=μ|b=λ}, Q{su|p=μ|b=λ} are generalizations of Legendre polynomials to non-integer degree. ==Differential equation== where the complex numbers λ and μ are called the degree and order of the associated Legendre functions, respectively. The Legendre polynomi...