{"data":{"id":"10.4231/r7x63jtm","type":"dois","attributes":{"doi":"10.4231/r7x63jtm","prefix":"10.4231","suffix":"r7x63jtm","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 half-range Hermite weight function w(x)=exp(-x^2) on R_{+} computed by the SOPQ routine sr_halfrangehermite(100,32)"}],"publisher":"Purdue University Research Repository","container":{},"publicationYear":2014,"subjects":[{"subject":"Computer Science"},{"subject":"Gaussian quadrature"},{"subject":"Orthogonal polynomials"},{"subject":"Matlab"},{"subject":"Equation Table"},{"subject":"Numerical integrations"},{"subject":"OPQ routine"},{"subject":"Integral Transforms"},{"subject":"Hilbert Transforms"},{"subject":"Computational methods"},{"subject":"Hermite weight function"},{"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/r7zp443r","relatedIdentifierType":"DOI"}],"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 half-range Hermite weight function w(x)=exp(-x^2) 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 recurrence coefficients relative to the half-range Hermite weight function w(x)=exp(-x^2) on R_{+} computed by the SOPQ routine sr_halfrangehermite(100,32)","descriptionType":"Other"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://purr.purdue.edu/publications/1490/1","contentUrl":null,"metadataVersion":8,"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":"2014-04-22T12:20:12.000Z","registered":"2014-04-22T12:20:13.000Z","published":"2014","updated":"2025-12-18T19:40:40.000Z"},"re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