Analytic / CONCEPT
Sine bounds for Barnes contours
Complex sine grows exponentially on every vertical line away from its real zeros.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
PROOF DEPTH0
DOCUMENT LINKS0
A sine lower bound
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A Barnes contour shiftstructural-affinity · Closed
- A Mellin-Barnes residue seriesstructural-affinity · Closed
- Integrability of two-sided exponential decaystructural-affinity · Closed
- Reciprocal Gamma on vertical stripsstructural-affinity · Closed
- The Mittag-Leffler Barnes kernelstructural-affinity · Closed
- The reverse Mittag-Leffler modulus characterization failsstructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
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LIBRARY / RELEASE VERSIONS
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