LegendreQ

LegendreQ(n, x)

returns the Legendre functions of the second kind Q_n(x).

See

• Wikipedia - Legendre polynomials

Examples

>> Expand(LegendreQ(4,z))
55/24*z-35/8*z^3-3/16*Log(1-z)+15/8*z^2*Log(1-z)-35/16*z^4*Log(1-z)+3/16*Log(1+z)-15/8*z^2*Log(1+z)+35/16*z^4*Log(1+z)

Implementation status

• ☑ - partially implemented

Github

• Implementation of LegendreQ

• Rule definitions of LegendreQ