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The respective Gaussian quadrature rules can be used to account for simple or multiple poles that may be present in the integrand. Several examples are given to illustrate this.\u0026lt;/p\u0026gt;","descriptionType":"Abstract"},{"description":"Matlab routines and data sets that compute repeated modifications of orthogonal polynomials","descriptionType":"Other"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://purr.purdue.edu/publications/1577/1","contentUrl":null,"metadataVersion":9,"schemaVersion":"http://datacite.org/schema/kernel-4","source":"mds","isActive":true,"state":"findable","reason":null,"viewCount":0,"viewsOverTime":[],"downloadCount":0,"downloadsOverTime":[],"referenceCount":1,"citationCount":0,"citationsOverTime":[],"partCount":0,"partOfCount":0,"versionCount":0,"versionOfCount":0,"created":"2014-04-22T17:32:47.000Z","registered":"2014-04-22T17:32:49.000Z","published":"2014","updated":"2025-12-18T19:41:07.000Z"},"relationships":{"client":{"data":{"id":"purdue.purduelib","type":"clients"}},"provider":{"data":{"id":"purdue","type":"providers"}},"media":{"data":{"id":"10.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