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Pochhammer double-loop contour

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1: 31.9 Orthogonality
31.9.2 ζ ( 1 + , 0 + , 1 - , 0 - ) t γ - 1 ( 1 - t ) δ - 1 ( t - a ) ϵ - 1 w m ( t ) w k ( t ) d t = δ m , k θ m .
The integration path is called a Pochhammer double-loop contour (compare Figure 5.12.3). … and the integration paths 1 , 2 are Pochhammer double-loop contours encircling distinct pairs of singularities { 0 , 1 } , { 0 , a } , { 1 , a } . …
2: 15.6 Integral Representations
See accompanying text
Figure 15.6.1: t -plane. … Magnify
3: 13.4 Integral Representations
See accompanying text
Figure 13.4.1: Contour of integration in (13.4.11). … Magnify
4: 31.10 Integral Equations and Representations
where γ > 0 , δ > 0 , and C be the Pochhammer double-loop contour about 0 and 1 (as in §31.9(i)). …