Proof step
Affine, reversal and Möbius substitutions (elementary)
Image under a real-rootedness preserver reversal, shift 0
- Concludes
- reversal of 5-Stirling numbers of the second kind.
- Premises
- 5-Stirling numbers of the second kind.
sequence: Every row P_n, n >= 0, is zero or real-rooted with all roots in (-inf, 0]
- 5-Stirling numbers of the second kind.
- Theorem
- polytool ?
- Lean
- RealRooted
route
reversedRealRooted.X_pow_mul_reverse_eq_zero_or_splits,RealRooted.reflect_eq_zero_or_splits - Checked
- polytool replayed · Lean not attempted
Technical details
- Step id
e-1fda128e00cfeef7· JSON- Operation
- Image under a real-rootedness preserver
{ "index_shift": 0, "operation": "preserver_image", "operator": "{\"shape\":\"reversal\",\"schedule\":{\"first_index\":0,\"first_degree\":0,\"step\":1}}" } - Claims
{ "claim": "real_rooted", "from_index": 0, "region": { "upper": { "closed": true, "value": "0" } } }- Certificate
preserver_image, SHA-25660307fe41243eaefc073265ef7af5e177378c291bc29eec83d635b29a0b9799c, 10,515 bytes (2,636 compressed); downloadpolytool replayed the certificate when the step was written.- Cited by
n-802eabe88630cab9(real_rooted)n-802eabe88630cab9(one_signed_coefficients)n-802eabe88630cab9(hadamard_kernel)