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integrations"},{"subject":"Software source code"},{"subject":"Numerical approximation"},{"subject":"Computation of special functions"},{"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":"2014-04-23","dateType":"Accepted"},{"date":"2014","dateType":"Issued"}],"language":"en","types":{"ris":"DATA","bibtex":"misc","citeproc":"dataset","schemaOrg":"Dataset","resourceType":"Datasets","resourceTypeGeneral":"Dataset"},"relatedIdentifiers":[{"relationType":"IsReferencedBy","relatedIdentifier":"10.1007/s11075-010-9409-6","resourceTypeGeneral":"JournalArticle","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":["15 files","7 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 real-valued Lambert W-functions considered here are w_0(y) and w_{-1}(y), solutions of we^w = y, -1/e \u0026amp;lt; y \u0026amp;lt; 0, with values respectively in (-1/e \u0026amp;lt; y \u0026amp;lt;0) and (-infinity, -1).\u0026lt;/p\u0026gt;","descriptionType":"Abstract"},{"description":"Matlab programs for evaluating the Lambert W-functions and some of their integrals","descriptionType":"Other"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://purr.purdue.edu/publications/1572/1","contentUrl":null,"metadataVersion":9,"schemaVersion":"http://datacite.org/schema/kernel-4","source":"mds","isActive":true,"state":"findable","reason":null,"viewCount":0,"viewsOverTime":[],"downloadCount":0,"downloadsOverTime":[],"referenceCount":0,"citationCount":1,"citationsOverTime":[{"year":"2025","total":1}],"partCount":0,"partOfCount":0,"versionCount":0,"versionOfCount":0,"created":"2014-04-22T17:25:31.000Z","registered":"2014-04-22T17:25:32.000Z","published":"2014","updated":"2025-12-18T19:41:03.000Z"},"relationships":{"client":{"data":{"id":"purdue.purduelib","type":"clients"}},"provider":{"data":{"id":"purdue","type":"providers"}},"media":{"data":{"id":"10.4231/r7z31wjp","type":"media"}},"references":{"data":[]},"citations":{"data":[{"id":"10.1007/s11075-010-9409-6","type":"dois"}]},"parts":{"data":[]},"partOf":{"data"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