proposition 9.126 Recurrence relations and the equation
open in the book ·
parts/02-mathematical-methods/07-odes-sturm-liouville.tex:4877
· p. 329
Rests on
- depends_on equation 9.166 eq:slt-hermite-ode ¶
-
depends_on
proposition 9.125
Generating function and first properties
¶
- depends_on definition 9.124 Hermite polynomials ¶
- proves proof ch:07-odes-sturm-liouville@proof-65 ¶
- proves proof ch:07-odes-sturm-liouville@proof-66 ¶
Supports
-
depends_on
theorem 9.127
Orthogonality
¶
- depends_on proposition 9.128 Hermite 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 |
→ | eq:slt-hermite-ode | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:4887 |
depends_on |
→ | Generating function and first properties | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:4887 |
depends_on |
← | Orthogonality | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:4915 |
proves |
← | ch:07-odes-sturm-liouville@proof-66 | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:4890 |