Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013611
- Concludes
- basis_map_A013611 of basis_map_A013609 of basis-map coefficients of Riordan array (1+2x,x(1+x)). shifted by x -> -x + 0
- Premises
- basis_map_A013609 of basis-map coefficients of Riordan array (1+2x,x(1+x)). shifted by x -> -x + 0
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- basis_map_A013609 of basis-map coefficients of Riordan array (1+2x,x(1+x)). shifted by x -> -x + 0
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-0246c3e671fb3d48· 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" } } }- Certificate
basis_map, SHA-256602cc7ecff8a5730cc381f3dfa027f25bd03dfab5a10fd3a9ff322d2d6395392, 6,865 bytes (1,392 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-7a7b1ea2b00dadf1(real_rooted)n-7a7b1ea2b00dadf1(one_signed_coefficients)n-7a7b1ea2b00dadf1(hadamard_kernel)