theorem 9.83 Langer transformation of the radial equation
open in the book ·
parts/02-mathematical-methods/07-odes-sturm-liouville.tex:3133
· p. 309
Rests on
- depends_on equation 9.60 eq:slt-wkb-normal-form ¶
- depends_on equation 9.95 eq:slt-wkb-radial ¶
- proves proof ch:07-odes-sturm-liouville@proof-41 ¶
Supports
- depends_on remark 9.84 Why the replacement is not optional ¶
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-wkb-normal-form | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:3160 |
depends_on |
→ | eq:slt-wkb-radial | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:3160 |
depends_on |
← | Why the replacement is not optional | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:3236 |
proves |
← | ch:07-odes-sturm-liouville@proof-41 | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:3163 |