The principal value uses symmetric truncation at infinity and symmetric deletion around real singularities.
For 0<s<a,
PV∫0∞1−xaxs−1dx=aπcotaπs.
Ancestors (5)
Incoming links (33)
- Borel integral with a simple pole
- Gaussian saddle coalescing with a simple pole
- Legendre expansion of thin-disk gravity
- Logarithmic integral function
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- Principal-value Fourier transform of a real pole
- Principal-value reciprocal distribution
- Simple saddle coinciding with a simple pole
- Upper-half-plane indentation rule
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