{"data":{"id":"10.4231/r7000013","type":"dois","attributes":{"doi":"10.4231/r7000013","prefix":"10.4231","suffix":"r7000013","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 using the Bose-Einstein weight function: w(x)=[x/(e^x-1)]^4 computed by the SOPQ routine sr_boseeinstein(100,4,32)"}],"publisher":"Purdue University Research Repository","container":{},"publicationYear":2014,"subjects":[{"subject":"Computer Science"},{"subject":"Gaussian quadrature"},{"subject":"Orthogonal polynomials"},{"subject":"Matlab"},{"subject":"Equation Table"},{"subject":"Bose-Einstein distribution"},{"subject":"OPQ routine"},{"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/r7765c8x","relatedIdentifierType":"DOI"},{"relationType":"References","relatedIdentifier":"10.1007/s11075-009-9283-2","resourceTypeGeneral":"JournalArticle","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":["1 file","5 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 Bose-Einstein weight function w(x)=[x/(e^x-1)]^4 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. 4 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 recurrence coefficients for orthogonal polynomials using the Bose-Einstein weight function: \nw(x)=[x/(e^x-1)]^4 computed by the SOPQ routine sr_boseeinstein(100,4,32)","descriptionType":"Other"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://purr.purdue.edu/publications/1480/1","contentUrl":null,"metadataVersion":10,"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":"2014-04-22T14:43:19.000Z","registered":"2014-04-22T14:43:21.000Z","published":"2014","updated":"2025-12-18T19:40:35.000Z"},"relationships":{"client":{"data":{"id":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