LegendreQ

Usage

• LegendreQ[n, z] gives the Legendre function of the second kind .
• LegendreQ[n, m, z] gives the associated Legendre function of the second kind .

Notes

• Mathematical function (see Section A.3.10).

• For integer n and m, explicit formulas are generated.

• The Legendre functions satisfy the differential equation

• LegendreQ[n, m, a, z] gives Legendre functions of type a. The default is type 1.

• LegendreQ of types 1, 2 and 3 are defined in terms of LegendreP of these types, and have the same branch cut structure.

• New in Version 1; modified in 3.