definition 9.116 Associated Legendre functions
open in the book ·
parts/02-mathematical-methods/07-odes-sturm-liouville.tex:4512
· p. 325
- ground object -- no derivation owed
Rests on
- depends_on definition 9.108 Rodrigues formula ¶
Supports
- depends_on proposition 9.120 Recurrence in the degree at fixed order ¶
-
depends_on
proposition 9.118
The construction solves the associated equation
¶
-
depends_on
theorem 9.119
Orthogonality at fixed order
¶
- depends_on theorem 9.122 Normalisation and orthonormality ¶
-
depends_on
theorem 9.119
Orthogonality at fixed order
¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Rodrigues formula | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:4521 |
depends_on |
← | Recurrence in the degree at fixed order | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:4654 |
depends_on |
← | The construction solves the associated equation | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:4553 |