proposition 9.134 Laguerre series

open in the book · parts/02-mathematical-methods/07-odes-sturm-liouville.tex:5142 · p. 332

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depends_on definition 9.47 Orthonormal series expansion ¶
- depends_on definition 9.45 Orthonormal set of functions ¶
depends_on theorem 9.133 Orthonormality ¶
- depends_on equation 9.175 eq:slt-laguerre-data ¶
- depends_on proposition 9.131 Explicit form and generating function ¶
  - depends_on definition 9.130 Laguerre polynomials ¶
  - proves proof ch:07-odes-sturm-liouville@proof-69 ¶
- depends_on theorem 9.57 Orthogonality of Sturm–Liouville eigenfunctions ¶
  - depends_on equation 9.55 eq:slt-eigenproblem ¶
  - depends_on lemma 9.56 Lagrange identity ¶
    - depends_on definition 9.54 Sturm–Liouville differential operator ¶
    - proves proof ch:07-odes-sturm-liouville@proof-28 ¶
  - proves proof ch:07-odes-sturm-liouville@proof-29 ¶
- proves proof ch:07-odes-sturm-liouville@proof-71 ¶
proves proof ch:07-odes-sturm-liouville@proof-72 ¶

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type	direction	node	provenance	where
`depends_on`	→	Orthonormal series expansion	declared	parts/02-mathematical-methods/07-odes-sturm-liouville.tex:5147
`depends_on`	→	Orthonormality	declared	parts/02-mathematical-methods/07-odes-sturm-liouville.tex:5147
`proves`	←	ch:07-odes-sturm-liouville@proof-72	declared	parts/02-mathematical-methods/07-odes-sturm-liouville.tex:5150