Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A007318
- Concludes
- shift_x_plus_one of basis_map_A013610 of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008…
- Premises
- basis_map_A013610 of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008…
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- basis_map_A013610 of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008…
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-a90cb37352f3f2bc· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A007318", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
basis_map, SHA-256db5eddea553c35aaf0f32b647188fb27a424e3343bd0700367e8447f2a019abd, 6,879 bytes (1,391 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-31f600b3d147eeab(one_signed_coefficients)n-31f600b3d147eeab(hadamard_kernel)n-31f600b3d147eeab(real_rooted)