Ferrers function

In mathematics, Ferrers functions are certain special functions defined in terms of hypergeometric functions. They are named after Norman Macleod Ferrers.Ferrers, Norman Macleod. An elementary treatise on spherical harmonics and subjects connected with them. Macmillan and Company, 1877.

Definitions Define the order, and the degree are real, and assume . Ferrers function of the first kind

Ferrers function of the second kind

See also Legendre function

References