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- Pochhammer_contour abstract "In mathematics, the Pochhammer contour, introduced by Camille Jordan (1887) and Leo Pochhammer (1890), is a contour in the complex plane with two points removed, used for contour integration. If A and B are loops around the two points, both starting at some fixed point P, then the Pochhammer contour is the commutator ABA−1B−1, where the superscript −1 denotes a path taken in the opposite direction. With the two points taken as 0 and 1, the fixed basepoint P being on the real axis between them, an example is the path that starts at P, encircles the point 1 in the counter-clockwise direction and returns to P, then encircles 0 counter-clockwise and returns to P, after that circling 1 and then 0 clockwise, before coming back to P. The class of the contour is an actual commutator when it is considered in the fundamental group with basepoint P of the complement in the complex plane (or Riemann sphere) of the two points looped. When it comes to taking contour integrals, moving basepoint from P to another choice Q makes no difference to the result, since there will be cancellation of integrals from P to Q and back.".
- Pochhammer_contour thumbnail Pochhammer.curve.svg?width=300.
- Pochhammer_contour wikiPageExternalLink jordan.pdf.
- Pochhammer_contour wikiPageID "26950225".
- Pochhammer_contour wikiPageLength "4240".
- Pochhammer_contour wikiPageOutDegree "19".
- Pochhammer_contour wikiPageRevisionID "607159034".
- Pochhammer_contour wikiPageWikiLink A_Course_in_Modern_Analysis.
- Pochhammer_contour wikiPageWikiLink A_Course_of_Modern_Analysis.
- Pochhammer_contour wikiPageWikiLink Analytic_continuation.
- Pochhammer_contour wikiPageWikiLink Beta_function.
- Pochhammer_contour wikiPageWikiLink Borromean_link.
- Pochhammer_contour wikiPageWikiLink Borromean_rings.
- Pochhammer_contour wikiPageWikiLink Cambridge_University_Press.
- Pochhammer_contour wikiPageWikiLink Category:Special_functions.
- Pochhammer_contour wikiPageWikiLink Commutator.
- Pochhammer_contour wikiPageWikiLink Complex_plane.
- Pochhammer_contour wikiPageWikiLink Contour_integration.
- Pochhammer_contour wikiPageWikiLink File:Pochhammer.curve.svg.
- Pochhammer_contour wikiPageWikiLink File:Pochhammer.homology2.svg.
- Pochhammer_contour wikiPageWikiLink Fundamental_group.
- Pochhammer_contour wikiPageWikiLink Homology_(mathematics).
- Pochhammer_contour wikiPageWikiLink Homology_group.
- Pochhammer_contour wikiPageWikiLink Homotopy_group.
- Pochhammer_contour wikiPageWikiLink Hypergeometric_function.
- Pochhammer_contour wikiPageWikiLink Leonhard_Euler.
- Pochhammer_contour wikiPageWikiLink Methods_of_contour_integration.
- Pochhammer_contour wikiPageWikiLink Riemann_sphere.
- Pochhammer_contour wikiPageWikiLink Winding_number.
- Pochhammer_contour wikiPageWikiLink File:Pochhammer.Borromeo.svg.
- Pochhammer_contour wikiPageWikiLinkText "Pochhammer contour".
- Pochhammer_contour authorlink "Camille Jordan".
- Pochhammer_contour authorlink "Leo Pochhammer".
- Pochhammer_contour first "Camille".
- Pochhammer_contour first "Leo".
- Pochhammer_contour hasPhotoCollection Pochhammer_contour.
- Pochhammer_contour last "Jordan".
- Pochhammer_contour last "Pochhammer".
- Pochhammer_contour wikiPageUsesTemplate Template:Citation.
- Pochhammer_contour wikiPageUsesTemplate Template:Harvs.
- Pochhammer_contour year "1887".
- Pochhammer_contour year "1890".
- Pochhammer_contour subject Category:Special_functions.
- Pochhammer_contour hypernym Contour.
- Pochhammer_contour type Type.
- Pochhammer_contour type Combinatoric.
- Pochhammer_contour type Function.
- Pochhammer_contour type Type.
- Pochhammer_contour comment "In mathematics, the Pochhammer contour, introduced by Camille Jordan (1887) and Leo Pochhammer (1890), is a contour in the complex plane with two points removed, used for contour integration. If A and B are loops around the two points, both starting at some fixed point P, then the Pochhammer contour is the commutator ABA−1B−1, where the superscript −1 denotes a path taken in the opposite direction.".
- Pochhammer_contour label "Pochhammer contour".
- Pochhammer_contour sameAs m.0bmj3yw.
- Pochhammer_contour sameAs Q7206325.
- Pochhammer_contour sameAs Q7206325.
- Pochhammer_contour wasDerivedFrom Pochhammer_contour?oldid=607159034.
- Pochhammer_contour depiction Pochhammer.curve.svg.
- Pochhammer_contour isPrimaryTopicOf Pochhammer_contour.