Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013611
- Concludes
- basis_map_A013611 of Array of coefficients of denominator polynomials of the n-th approximation of the continued fraction x/(1+x/(2+x/(3+..., related to Laguer…
- Premises
- Array of coefficients of denominator polynomials of the n-th approximation of the continued fraction x/(1+x/(2+x/(3+..., related to Laguerr…
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- Array of coefficients of denominator polynomials of the n-th approximation of the continued fraction x/(1+x/(2+x/(3+..., related to Laguerr…
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-e8247e43263f967d· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A013611", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }{ "claim": "interlacing", "from_index": 1, "kind": "weak", "orientation": "unordered" }- Certificate
basis_map, SHA-256f7057a5588e442ae0f4a07d1190a1896e6ebf7a6aebbb0e9bda06d6eef8266c8, 14,325 bytes (2,819 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-fabff891e62e7553(real_rooted)n-fabff891e62e7553(one_signed_coefficients)n-fabff891e62e7553(hadamard_kernel)n-fabff891e62e7553(interlacing)