proposition 9.131 Explicit form and generating function
open in the book ·
parts/02-mathematical-methods/07-odes-sturm-liouville.tex:5023
· p. 330
Rests on
- depends_on definition 9.130 Laguerre polynomials ¶
- proves proof ch:07-odes-sturm-liouville@proof-69 ¶
Supports
- depends_on proposition 9.132 The equation and the recurrence ¶
-
depends_on
theorem 9.133
Orthonormality
¶
- depends_on proposition 9.134 Laguerre series ¶
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 |
→ | Laguerre polynomials | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:5036 |
depends_on |
← | The equation and the recurrence | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:5071 |
depends_on |
← | Orthonormality | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:5113 |
proves |
← | ch:07-odes-sturm-liouville@proof-69 | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:5039 |