Proof step
Geometric basis map (elementary)
Image under a basis map u^k -> P_k A013609
- Concludes
- basis_map_A013609 of basis_map_A013609 of Coefficients of a special case of Poisson-Charlier polynomials.
- Premises
- basis_map_A013609 of Coefficients of a special case of Poisson-Charlier polynomials.
sequence: Every row P_n, n >= 1, is zero or real-rooted with all roots in (-inf, 0]
- basis_map_A013609 of Coefficients of a special case of Poisson-Charlier polynomials.
- Theorem
- polytool ?
- Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-313ae5b7dca71654· JSON- Operation
- Image under a basis map u^k -> P_k
{ "map": "A013609", "operation": "basis_map" } - Claims
{ "claim": "real_rooted", "from_index": 1, "region": { "upper": { "closed": true, "value": "0" } } }{ "claim": "interlacing", "from_index": 2, "kind": "weak", "orientation": "unordered" }- Certificate
basis_map, SHA-25696a71c8ee11946059e6b703f7a0541f6740b81169472cc333b7a5ec679ee74c2, 15,583 bytes (3,114 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-31d1c82323726714(real_rooted)n-31d1c82323726714(one_signed_coefficients)n-31d1c82323726714(hadamard_kernel)n-31d1c82323726714(interlacing)