Analytic / CONCEPT
The two real rays
Strict monotonicity and exact ranges of Kummer ratios with shifted upper parameters.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS0
Monotonicity and both Gamma endpoints
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 modified Bessel ratio need not be log-concavestructural-affinity · Closed
- Beta integral endpoint asymptoticsstructural-affinity · Closed
- Gamma-normalized Kummer asymptoticsstructural-affinity · Closed
- Kummer reflectionstructural-affinity · Closed
- Logarithmic derivatives and finite parameter incrementsstructural-affinity · Closed
- Moment kernelstructural-affinity · Closed
- Pairing and the transformed Turanianstructural-affinity · Closed
- Symmetric interval convolutionsstructural-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
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