Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013611
- Concludes
- basis_map_A013611 of derivative of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008288) r…
- Premises
- derivative of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008288) re…
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- derivative of basis-map coefficients of Irregular triangle read by rows formed by taking every other row of the Delannoy array (A008288) re…
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-bad944fbc6d5efd9· 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-25627ac471175b3aa0fe056576ecae935e441f9e2fca4d75385533922f7340693e2, 11,769 bytes (2,143 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-1bebb7994606abe7(real_rooted)n-1bebb7994606abe7(one_signed_coefficients)n-1bebb7994606abe7(hadamard_kernel)