{"data":{"id":"10.4231/r74q7rwj","type":"dois","attributes":{"doi":"10.4231/r74q7rwj","prefix":"10.4231","suffix":"r74q7rwj","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"Gautschi, Walter","givenName":"Walter","familyName":"Gautschi","affiliation":["Purdue University"],"nameIdentifiers":[{"schemeUri":"https://orcid.org","nameIdentifier":"https://orcid.org/0000-0001-9184-8899","nameIdentifierScheme":"ORCID"}]}],"titles":[{"title":"32-digit values of the first 100 recurrence coefficients relative to the weight function w(x)=x^{1/2}(1-x)^{1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,1/2,32)"}],"publisher":"Purdue University Research Repository","container":{},"publicationYear":2014,"subjects":[{"subject":"Computer Science"},{"subject":"Jacobi polynomials"},{"subject":"Orthogonal polynomials"},{"subject":"Jacobi weight functions"},{"subject":"Matlab"},{"subject":"Equation Table"},{"subject":"OPQ routine"},{"subject":"Gauss-Radau formula"},{"subject":"Mathematics"},{"subject":"FOS: Mathematics","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Walter Gautschi Archives"}],"contributors":[],"dates":[{"date":"2014-04-22","dateType":"Available"},{"date":"2014-04-22","dateType":"Submitted"},{"date":"2014-04-22","dateType":"Accepted"},{"date":"2014","dateType":"Issued"}],"language":"en","types":{"ris":"DATA","bibtex":"misc","citeproc":"dataset","schemaOrg":"Dataset","resourceType":"Datasets","resourceTypeGeneral":"Dataset"},"relatedIdentifiers":[],"relatedItems":[],"sizes":["1 file","4 KB"],"formats":["text/plain"],"version":"1.0","rightsList":[{"rights":"Creative Commons Zero v1.0 Universal","rightsUri":"https://creativecommons.org/publicdomain/zero/1.0/legalcode","schemeUri":"https://spdx.org/licenses/","rightsIdentifier":"cc0-1.0","rightsIdentifierScheme":"SPDX"}],"descriptions":[{"description":"\u0026lt;p\u0026gt;{{{ The first 100 recurrence coefficients for the weight function w(x)=x^{1/2}(1-x)^{1/2}log(1/x) on (0,1) are obtained to 32 decimal digits from the first 200 modified moments by using Chebyshev\u0026amp;#39;s algorithm in sufficiently high precision; cf. Sec.3 of \u0026amp;quot;Gauss quadrature routines for two classes of logarithmic weight functions\u0026amp;quot;, Numerical Algorithms 55 (2010), 265-277. }}}\u0026lt;/p\u0026gt;","descriptionType":"Abstract"},{"description":"32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^{1/2}(1-x)^{1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,1/2,32)","descriptionType":"Other"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://purr.purdue.edu/publications/1500/1","contentUrl":null,"metadataVersion":7,"schemaVersion":"http://datacite.org/schema/kernel-4","source":"mds","isActive":true,"state":"findable","reason":null,"viewCount":0,"viewsOverTime":[],"downloadCount":0,"downloadsOverTime":[],"referenceCount":0,"citationCount":0,"citationsOverTime":[],"partCount":0,"partOfCount":0,"versionCount":0,"versionOfCount":0,"created":"2014-04-22T12:56:00.000Z","registered":"2014-04-22T12:56:01.000Z","published":"2014","updated":"2025-12-18T19:40:44.000Z"},"relationships":{"client":{"data":{"id":"purdue.purduelib","type":"clients"}},"provider":{"data":{"id":"purdue","type":"providers"}},"media":{"data":{"id":"10.4231/r74q7rwj","type":"media"}},"references":{"data":[]},"citations":{"data":[]},"parts":{"data":[]},"partOf":{"data":[]},"versions":{"data":[]},"versionOf":{"data":[]}}}}