Analytic / CONCEPT
A Mellin-Barnes residue series
Closing a contour sequence identifies its integral with the summable residue series.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH1
DOCUMENT LINKS0
The residue HasSum
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 Barnes contour shiftstructural-affinity · Closed
- Exponential Square Weights and Catalan Paritystructural-affinity · Closed
- Gamma ratios and differentiated seriesstructural-affinity · Closed
- Integrability of two-sided exponential decaystructural-affinity · Closed
- Reciprocal Gamma on vertical stripsstructural-affinity · Closed
- Sine bounds for Barnes contoursstructural-affinity · Closed
- The Mittag-Leffler Barnes kernelstructural-affinity · Closed
- The reverse Mittag-Leffler modulus characterization failsstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance