{"data":{"id":"10.4231/r71z4290","type":"dois","attributes":{"doi":"10.4231/r71z4290","prefix":"10.4231","suffix":"r71z4290","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 Theodorus weight function w(x)=x^{1/2}/(e^x-1) on R_{+} computed by the routine sr_theodorus(100,32)"}],"publisher":"Purdue University Research Repository","container":{},"publicationYear":2014,"subjects":[{"subject":"Computer Science"},{"subject":"Gaussian quadrature"},{"subject":"Orthogonal polynomials"},{"subject":"Equation Table"},{"subject":"Spiral of Theodorus"},{"subject":"Slowly convergent series"},{"subject":"Bose-Einstein distribution"},{"subject":"Moment problem"},{"subject":"Summation of series"},{"subject":"Numerical integrations"},{"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":"2014-04-22","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/r7cz354q","relatedIdentifierType":"DOI"},{"relationType":"References","relatedIdentifier":"10.1016/j.cam.2009.11.054","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 orthogonal polynomials relative to the Theodorus weight function w(x)=x^(1/2)/(e^x-1) on R_{+} are obtained from the first 200 moments mu_k=Gamma(k+3/2) * zeta(k+3/2), k=0,1,2,...,199, by using Chebyshev\u0026amp;#39;s algorithm in sufficiently high precision. }}}\u0026lt;/p\u0026gt;","descriptionType":"Abstract"},{"description":"32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the Theodorus weight function w(x)=x^{1/2}/(e^x-1) on R_{+} computed by the routine sr_theodorus(100,32)","descriptionType":"Other"}],"geoLocations":[],"fundingReferences":[],"xml":"PD94bWwgdmVyc2lvbj0iMS4wIiBlbmNvZGluZz0iVVRGLTgiPz4KPHJlc291cmNlIHhtbG5zOnhzaT0iaHR0cDovL3d3dy53My5vcmcvMjAwMS9YTUxTY2hlbWEtaW5zdGFuY2UiIHhtbG5zPSJodHRwOi8vZGF0YWNpdGUub3JnL3NjaGVtYS9rZXJuZWwtNCIgeHNpOnNjaGVtYUxvY2F0aW9uPSJodHRwOi8vZGF0YWNpdGUub3JnL3NjaGVtYS9rZXJuZWwtNCBodHRwczovL3NjaGVtYS5kYXRhY2l0ZS5vcmcvbWV0YS9rZXJuZWwtNC41L21ldGFkYXRhLnhzZCI+CiAgPGlkZW50aWZpZXIgaWRlbnRpZmllclR5cGU9IkRPSSI+MTAuNDIzMS9SNzFaNDI5MDwvaWRlbnRpZmllcj4KICA8Y3JlYXRvcnM+CiAgICA8Y3JlYXRvcj4KICAgICAgPGNyZWF0b3JOYW1lPkdhdXRzY2hpLCBXYWx0ZXI8L2NyZWF0b3JOYW1lPgogICAgICA8Z2l2ZW5OYW1lPldhbHRlcjwvZ2l2ZW5OYW1lPgogICAgICA8ZmFtaWx5TmFtZT5HYXV0c2NoaTwvZmFtaWx5TmFtZT4KICAgICAgPG5hbWVJZGVudGlmaWVyIG5hbWVJZGVudGlmaWVyU2NoZW1lPSJPUkNJRCIgc2NoZW1lVVJJPSJodHRwczovL29yY2lkLm9yZy8iPjAwMDAtMDAwMS05MTg0LTg4OTk8L25hbWVJZGVudGlmaWVyPgogICAgICA8YWZmaWxpYXRpb24+UHVyZHVlIFVuaXZlcnNpdHk8L2FmZmlsaWF0aW9uPgogICAgPC9jcmVhdG9yPgogIDwvY3JlYXRvcnM+CiAgPHRpdGxlcz4KICAgIDx0aXRsZT4zMi1kaWdpdCB2YWx1ZXMgb2YgdGhlIGZpcnN0IDEwMCByZWN1cnJlbmNlIGNvZWZmaWNpZW50cyByZWxhdGl2ZSB0byB0aGUgVGhlb2RvcnVzIHdlaWdodCBmdW5jdGlvbiB3KHgpPXheezEvMn0vKGVeeC0xKSBvbiBSX3srfSBjb21wdXRlZCAgYnkgdGhlIHJvdXRpbmUgc3JfdGhlb2RvcnVzKDEwMCwzMik8L3RpdGxlPgogIDwvdGl0bGVzPgogIDxwdWJsaXNoZXIgeG1sOmxhbmc9ImVuIiBwdWJsaXNoZXJJZGVudGlmaWVyPSJodHRwczovL3d3dy5yZTNkYXRhLm9yZy9yZXBvc2l0b3J5L3IzZDEwMDAxMDk1MSIgcHVibGlzaGVySWRlbnRpZmllclNjaGVtZT0icmUzZGF0YSIgc2NoZW1lVVJJPSJodHRwczovL3d3dy5yZTNkYXRhLm9yZy8iPlB1cmR1ZSBVbml2ZXJzaXR5IFJlc2VhcmNoIFJlcG9zaXRvcnk8L3B1Ymxpc2hlcj4KICA8cHVibGljYXRpb25ZZWFyPjIwMTQ8L3B1YmxpY2F0aW9uWWVhcj4KICA8ZGF0ZXM+CiAgICA8ZGF0ZSBkYXRlVHlwZT0iQXZhaWxhYmxlIj4yMDE0LTA0LTIyPC9kYXRlPgogICAgPGRhdGUgZGF0ZVR5cGU9IlN1Ym1pdHRlZCI+MjAxNC0wNC0yMjwvZGF0ZT4KICAgIDxkYXRlIGRhdGVUeXBlPSJBY2NlcHRlZCI+MjAxNC0wNC0yMjwvZGF0ZT4KICA8L2RhdGVzPgogIDxsYW5ndWFnZT5lbjwvbGFuZ3VhZ2U+CiAgPHJlc291cmNlVHlwZSByZXNvdXJjZVR5cGVHZW5lcmFsPSJEYXRhc2V0Ij5EYXRhc2V0czwvcmVzb3VyY2VUeXBlPgogIDxyZWxhdGVkSWRlbnRpZmllcnM+CiAgICA8cmVsYXRlZElkZW50aWZpZXIgcmVsYXRlZElkZW50aWZpZXJUeXBlPSJET0kiIHJlbGF0aW9uVHlwZT0iSXNQcmV2aW91c1ZlcnNpb25PZiI+MTAuNDIzMS9SN0NaMzU0UTwvcmVsYXRlZElkZW50aWZpZXI+CiAgICA8cmVsYXRlZElkZW50aWZpZXIgcmVsYXRlZElkZW50aWZpZXJUeXBlPSJET0kiIHJlbGF0aW9uVHlwZT0iUmVmZXJlbmNlcyIgcmVzb3VyY2VUeXBlR2VuZXJhbD0iSm91cm5hbEFydGljbGUiPjEwLjEwMTYvai5jYW0uMjAwOS4xMS4wNTQ8L3JlbGF0ZWRJZGVudGlmaWVyPgogIDwvcmVsYXRlZElkZW50aWZpZXJzPgogIDx2ZXJzaW9uPjEuMDwvdmVyc2lvbj4KICA8cmlnaHRzTGlzdD4KICAgIDxyaWdodHMgcmlnaHRzVVJJPSJodHRwOi8vY3JlYXRpdmVjb21tb25zLm9yZy9wdWJsaWNkb21haW4vemVyby8xLjAvbGVnYWxjb2RlIj5DQzAgMS4wIFVuaXZlcnNhbDwvcmlnaHRzPgogIDwvcmlnaHRzTGlzdD4KICA8Zm9ybWF0cz4KICAgIDxmb3JtYXQ+dGV4dC9wbGFpbjwvZm9ybWF0PgogIDwvZm9ybWF0cz4KICA8c2l6ZXM+CiAgICA8c2l6ZT4xIGZpbGU8L3NpemU+CiAgICA8c2l6ZT41IEtCPC9zaXplPgogIDwvc2l6ZXM+CiAgPHN1YmplY3RzPgogICAgPHN1YmplY3Q+Q29tcHV0ZXIgU2NpZW5jZTwvc3ViamVjdD4KICAgIDxzdWJqZWN0PkdhdXNzaWFuIHF1YWRyYXR1cmU8L3N1YmplY3Q+CiAgICA8c3ViamVjdD5PcnRob2dvbmFsIHBvbHlub21pYWxzPC9zdWJqZWN0PgogICAgPHN1YmplY3Q+RXF1YXRpb24gVGFibGU8L3N1YmplY3Q+CiAgICA8c3ViamVjdD5TcGlyYWwgb2YgVGhlb2RvcnVzPC9zdWJqZWN0PgogICAgPHN1YmplY3Q+U2xvd2x5IGNvbnZlcmdlbnQgc2VyaWVzPC9zdWJqZWN0PgogICAgPHN1YmplY3Q+Qm9zZS1FaW5zdGVpbiBkaXN0cmlidXRpb248L3N1YmplY3Q+CiAgICA8c3ViamVjdD5Nb21lbnQgcHJvYmxlbTwvc3ViamVjdD4KICAgIDxzdWJqZWN0PlN1bW1hdGlvbiBvZiBzZXJpZXM8L3N1YmplY3Q+CiAgICA8c3ViamVjdD5OdW1lcmljYWwgaW50ZWdyYXRpb25zPC9zdWJqZWN0PgogICAgPHN1YmplY3Q+UXVhZHJhdHVyZSBhbmQgY3ViYXR1cmUgZm9ybXVsYXM8L3N1YmplY3Q+CiAgICA8c3ViamVjdD5NYXRoZW1hdGljczwvc3ViamVjdD4KICAgIDxzdWJqZWN0PldhbHRlciBHYXV0c2NoaSBBcmNoaXZlczwvc3ViamVjdD4KICA8L3N1YmplY3RzPgogIDxkZXNjcmlwdGlvbnM+CiAgICA8ZGVzY3JpcHRpb24gZGVzY3JpcHRpb25UeXBlPSJBYnN0cmFjdCI+JmFtcDtsdDtwJmFtcDtndDt7e3sgVGhlIGZpcnN0IDEwMCByZWN1cnJlbmNlIGNvZWZmaWNpZW50cyBmb3Igb3J0aG9nb25hbCBwb2x5bm9taWFscyByZWxhdGl2ZSB0byB0aGUgVGhlb2RvcnVzIHdlaWdodCBmdW5jdGlvbiB3KHgpPXheKDEvMikvKGVeeC0xKSBvbiBSX3srfSBhcmUgb2J0YWluZWQgZnJvbSB0aGUgZmlyc3QgMjAwIG1vbWVudHMgbXVfaz1HYW1tYShrKzMvMikgKiB6ZXRhKGsrMy8yKSwgaz0wLDEsMiwuLi4sMTk5LCBieSB1c2luZyBDaGVieXNoZXYmYW1wO2FtcDsjMzk7cyBhbGdvcml0aG0gaW4gc3VmZmljaWVudGx5IGhpZ2ggcHJlY2lzaW9uLiB9fX0mYW1wO2x0Oy9wJmFtcDtndDs8L2Rlc2NyaXB0aW9uPgogICAgPGRlc2NyaXB0aW9uIGRlc2NyaXB0aW9uVHlwZT0iT3RoZXIiPjMyLWRpZ2l0IHZhbHVlcyBvZiB0aGUgZmlyc3QgMTAwIHJlY3VycmVuY2UgY29lZmZpY2llbnRzIGZvciBvcnRob2dvbmFsIHBvbHlub21pYWxzIHJlbGF0aXZlIHRvIHRoZSBUaGVvZG9ydXMgd2VpZ2h0IGZ1bmN0aW9uIHcoeCk9eF57MS8yfS8oZV54LTEpIG9uIFJfeyt9IGNvbXB1dGVkICBieSB0aGUgcm91dGluZSBzcl90aGVvZG9ydXMoMTAwLDMyKTwvZGVzY3JpcHRpb24+CiAgPC9kZXNjcmlwdGlvbnM+CjwvcmVzb3VyY2U+","url":"https://purr.purdue.edu/publications/1472/1","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":1,"citationCount":0,"citationsOverTime":[],"partCount":0,"partOfCount":0,"versionCount":0,"versionOfCount":0,"created":"2014-04-22T12:13: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