{"data":{"id":"10.4231/r7qn64n5","type":"dois","attributes":{"doi":"10.4231/r7qn64n5","prefix":"10.4231","suffix":"r7qn64n5","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":"28-digit values of the recursion coefficients relative to the Airy weight function w(x)= frac{2^{2/3}pi}{3^{5/6}Gamma(2/3)} *x^{-2/3}exp(-x)Ai((3x/2)^{2/3}) on [0,infty]"}],"publisher":"Purdue University Research Repository","container":{},"publicationYear":2014,"subjects":[{"subject":"Computer Science"},{"subject":"Gaussian quadrature"},{"subject":"Orthogonal polynomials"},{"subject":"Airy weight function"},{"subject":"Equation Table"},{"subject":"Quadrature and cubature formulas"},{"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":"2014-03-21","dateType":"Available"},{"date":"2014-03-21","dateType":"Submitted"},{"date":"2014-03-21","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","2 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 40 recursion coefficients for the Airy weight function are obtained to 28 decimal digits by a discretization procedure described in Sec. 4.2 of Walter Gautschi, \u0026amp;quot;Computation of Bessel and Airy functions and of related Gaussian quadrature formulae\u0026amp;quot;, BIT 42 (2002), 110-118. }}}\u0026lt;/p\u0026gt;","descriptionType":"Abstract"},{"description":"28-digit values of the recursion coefficients for orthogonal polynomials relative to the Airy weight function w(x)= frac{2^{2/3}pi}{3^{5/6}Gamma(2/3)} *x^{-2/3}exp(-x)Ai((3x/2)^{2/3}) on [0,infty]","descriptionType":"Other"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://purr.purdue.edu/publications/1474/1","contentUrl":null,"metadataVersion":6,"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":"2014-03-21T15:54:02.000Z","registered":"2014-03-21T15:54:03.000Z","published":"2014","updated":"2025-12-18T19:40:31.000Z"},"relationships":{"client":{"data":{"id":"purdue.purduelib","type":"clients"}},"provider":{"data":{"id":"purdue","type":"providers"}},"media":{"data":{"id":"10.4231/r7qn64n5","type":"media"}},"references":{"data":[]},"citations":{"data":[]},"parts":{"data":[]},"partOf":{"data":[]},"versions":{"data":[]},"versionOf":{"data":[]}}}}