proposition 9.114 Recurrence relations

open in the book · parts/02-mathematical-methods/07-odes-sturm-liouville.tex:4423 · p. 324

Rests on

depends_on theorem 9.113 Generating function ¶
- depends_on lemma 9.110 The polynomial solution is unique up to scale ¶
  - depends_on proposition 9.109 Rodrigues' polynomials solve the equation ¶
    - depends_on definition 9.108 Rodrigues formula ¶
    - depends_on equation 9.146 eq:slt-legendre-ode ¶
    - proves proof ch:07-odes-sturm-liouville@proof-53 ¶
  - proves proof ch:07-odes-sturm-liouville@proof-54 ¶
- depends_on proposition 9.109 Rodrigues' polynomials solve the equation ¶ ↺
- proves proof ch:07-odes-sturm-liouville@proof-56 ¶
proves proof ch:07-odes-sturm-liouville@proof-57 ¶

Supports

depends_on proposition 9.120 Recurrence in the degree 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`	→	Generating function	declared	parts/02-mathematical-methods/07-odes-sturm-liouville.tex:4433
`depends_on`	←	Recurrence in the degree at fixed order	declared	parts/02-mathematical-methods/07-odes-sturm-liouville.tex:4654
`proves`	←	ch:07-odes-sturm-liouville@proof-57	declared	parts/02-mathematical-methods/07-odes-sturm-liouville.tex:4436