Combinatorics / CONCEPT
The Catalan Power Moment Dictionary
The Jacobi recurrence expresses odd Catalan power coefficients as moments of a monic orthonormal polynomial family.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH3
DOCUMENT LINKS1
Normalized orthogonality and Catalan moments
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
- Formal Reciprocal Branches and Polynomial Exponentsstructural-affinity · Closed
- Integral Confluence of Formal Alternantsstructural-affinity · Closed
- Mixed Remainder and Coefficient Coordinatesstructural-affinity · Closed
- Negative-Index Motzkin Determinantsstructural-affinity · Closed
- Orthogonal Moments for Motzkin Columnsstructural-affinity · Closed
- Polynomial Identities for the Residue Reductionstructural-affinity · Closed
- Real Half-Line Motzkin Coordinatesstructural-affinity · Closed
- Shifted Hankel Determinants of Catalan Powersstructural-affinity · Closed
- The Motzkin Orthogonal Polynomial Basisstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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