Subsections

• 5.8.1 Real Argument and Parameters
• 5.8.2 Conical Functions
• 5.8.3 Complex Argument and/or Parameters
• 5.8.4 Articles

5.8 Legendre Functions and Associated Legendre Functions

This section includes the conical and toroidal functions. See also hypergeometric functions (§5.5) and orthogonal polynomials (§5.10).

5.8.1 Real Argument and Parameters

[Bra73, Fortran], [Del79, Fortran], [Gau65, Algol], [GS97, Fortran], [GS98, Fortran], [LS81, Fortran], [OS83, Fortran]. Libraries: [Bak92], [Tho97], [ZJ96], Numerical Recipes, SLATEC.

5.8.2 Conical Functions

[Köl81]. Libraries: [Bak92]. [Tho97].

5.8.3 Complex Argument and/or Parameters

[GS98, Fortran]. Libraries: [Bak92]. Systems: Maple, Mathematica.

5.8.4 Articles

[CM78], [CM79], [EWB84], [Fet70], [Hun95], [LW95], [SOL81].