{"data":{"id":"10.4231/r7td9v74","type":"dois","attributes":{"doi":"10.4231/r7td9v74","prefix":"10.4231","suffix":"r7td9v74","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 beta coefficients relative to the Freud weight function w(x)=exp(-x^8) computed on R by the SOPQ routine sr_freud(100,0,8,32)"}],"publisher":"Purdue University Research Repository","container":{},"publicationYear":2014,"subjects":[{"subject":"Computer Science"},{"subject":"Gaussian quadrature"},{"subject":"Orthogonal polynomials"},{"subject":"Freud weight function"},{"subject":"Matlab"},{"subject":"Equation Table"},{"subject":"OPQ routine"},{"subject":"Freud polynomials"},{"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":[{"relationType":"IsPreviousVersionOf","relatedIdentifier":"10.4231/r7r78c5q","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":["1 file","3 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 Freud weight function w(x)=exp(-x^{8}) on R are obtained to 32 decimal digits from the first 200 moments by using Chebyshev\u0026amp;#39;s algorithm in sufficiently high precision; cf. Sec. 3 of \u0026amp;quot;Variable-precision recurrence coefficients for nonstandard orthogonal polynomials\u0026amp;quot;, Numerical Algorithms 52 (2009), 409-418. }}}\u0026lt;/p\u0026gt;","descriptionType":"Abstract"},{"description":"32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^8) computed on R by the SOPQ routine sr_freud(100,0,8,32)","descriptionType":"Other"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://purr.purdue.edu/publications/1489/1","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":"2014-04-22T11:28:59.000Z","registered":"2014-04-22T11:29:00.000Z","published":"2014","updated":"2025-12-18T19:40:39.000Z"},"relationships":{"client":{"data":{"id":"purdue.purduelib","type":"clients"}},"provider":{"data":{"id":"purdue","type":"providers"}},"media":{"data":{"id":"10.4231/r7td9v74","type":"media"}},"references":{"data":[]},"citations":{"data":[]},"parts":{"data":[]},"partOf":{"data":[]},"versions":{"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