Proof step e-679c0a5cb2a19fa4

basis_map A130595 → concludes about Triangle of coefficients in expansion of x^n in terms of Laguerre polynomials L_n(x). JSON

Theorem

Geometric basis map (elementary) polytool ?

Operation

Image under a basis map u^k -> P_k

{
  "map": "A130595",
  "operation": "basis_map"
}

Premises

• basis-map coefficients of Triangle of coefficients in expansion of x^n in terms of Laguerre polynomials L_n(x). (sequence)
  uses: Every row P_n, n >= 1, is zero or real-rooted with all roots in (-inf, 0]

Claims

• { "claim": "real_rooted", "from_index": 1, "region": {} }

Verification and certificate

• polytool: replayed (the certificate replayed when the step was written)
• Lean: not attempted
• certificate: basis_map, SHA-256 4b48e68f72f7c2177da6bae0f89072279eef17b869abb4b7e177440dcde044cc, 6,716 bytes (1,592 compressed); download JSON

Cited by

• n-95a5652eb8c6128a (real_rooted)