Analytic / CONCEPT
A modified Bessel ratio need not be log-concave
A positive rational series disproves log-concavity of a modified Bessel ratio.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES2
PROOF DEPTH3
DOCUMENT LINKS0
Nonnegative terms
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A family of strict counterexamplesstructural-affinity · Closed
- Beta integral representationstructural-affinity · Closed
- Explicit local comparisonstructural-affinity · Closed
- Factorial Partition Signs: Conjecture 4.4 is Falsestructural-affinity · Closed
- From the two-variable transform to the gamma seriesstructural-affinity · Closed
- Gamma-normalized Kummer asymptoticsstructural-affinity · Closed
- Moment kernelstructural-affinity · Closed
- Normalized Bessel functionsstructural-affinity · Closed
- The explicit weighted Bessel kernelstructural-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
- The two real raysstructural-affinity · Closed
Documents & exposition
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