Analytic / CONCEPT
Karp and Zhang's Conjecture 3.8
Triple rising-factorial series preserve coefficientwise log-concavity.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH6
DOCUMENT LINKS0
Polynomial parameter dependence
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Beta means and shape imbalancestructural-affinity · Closed
- Coefficient convolution and shape imbalancestructural-affinity · Closed
- Coefficientwise log-concavity of both seriesstructural-affinity · Closed
- Finite exponential smoothingstructural-affinity · Closed
- From the two-variable transform to the gamma seriesstructural-affinity · Closed
- Karp-Zhang Quadratic Truncationsstructural-affinity · Closed
- Pairing and the transformed Turanianstructural-affinity · Closed
- Trisection balancing and symmetric homogeneous beta liftingstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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