Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013609
- Concludes
- basis_map_A013609 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-d8af37fe2cd1c14d· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A013609", "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-2568770f6b99a20baf2acc78156212c6da9ad74109b55fc5e5317eaf8987023421a, 14,325 bytes (2,820 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-8a9d356b74002a5f(real_rooted)n-8a9d356b74002a5f(one_signed_coefficients)n-8a9d356b74002a5f(hadamard_kernel)n-8a9d356b74002a5f(interlacing)