proposition 9.102 Liouville normal form of the Bessel equation
open in the book ·
parts/02-mathematical-methods/07-odes-sturm-liouville.tex:3982
· p. 318
Rests on
- depends_on equation 9.125 eq:slt-bessel-ode ¶
- depends_on remark 9.92 rem:slt-bessel-expanded ¶
- proves proof ch:07-odes-sturm-liouville@proof-50 ¶
Supports
- depends_on proposition 9.103 The positive zeros and their spacing ¶
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-bessel-ode | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:3992 |
depends_on |
→ | rem:slt-bessel-expanded | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:3992 |
depends_on |
← | The positive zeros and their spacing | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:4025 |
proves |
← | ch:07-odes-sturm-liouville@proof-50 | declared | parts/02-mathematical-methods/07-odes-sturm-liouville.tex:3995 |