Analytic / CONCEPT
The explicit weighted Bessel kernel
A two-mode counterexample to weighted Bessel-kernel positivity.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH4
DOCUMENT LINKS0
Refutation at two modes
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
- A family of strict counterexamplesstructural-affinity · Closed
- A modified Bessel ratio need not be log-concavestructural-affinity · Closed
- Explicit local comparisonstructural-affinity · Closed
- Gamma-normalized Kummer asymptoticsstructural-affinity · Closed
- Normalized Bessel functionsstructural-affinity · Closed
- The first positive zerostructural-affinity · Closed
- The modified Bessel product need not be log-convex in its orderstructural-affinity · Closed
- The normalized Bessel seriesstructural-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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