{"id":"https://openalex.org/W4385490917","doi":"https://doi.org/10.1090/mcom/3892","title":"A Ramanujan integral and its derivatives: computation and analysis","display_name":"A Ramanujan integral and its derivatives: computation and analysis","publication_year":2023,"publication_date":"2023-08-02","ids":{"openalex":"https://openalex.org/W4385490917","doi":"https://doi.org/10.1090/mcom/3892"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3892","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3892","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047944714","display_name":"Walter Gautschi","orcid":"https://orcid.org/0000-0001-9184-8899"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Walter Gautschi","raw_affiliation_strings":["Department of Computer Science Purdue University, West Lafayette, Indiana 47907-2066"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science Purdue University, West Lafayette, Indiana 47907-2066","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034541132","display_name":"Gradimir V. Milovanovi\u0107","orcid":"https://orcid.org/0000-0002-3255-8127"},"institutions":[{"id":"https://openalex.org/I1338511612","display_name":"Serbian Academy of Sciences and Arts","ror":"https://ror.org/05m1y4204","country_code":"RS","type":"government","lineage":["https://openalex.org/I1338511612"]},{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Gradimir Milovanovi\u0107","raw_affiliation_strings":["Univerity of Ni\u00c5\u00a1, Faculty of Sciences and Mathematics, 18000 Ni\u00c5\u00a1, Serbia","Serbian Academy of Sciences and Arts, 11000 Belgrade, Kneza Mihaila 35, Serbia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univerity of Ni\u00c5\u00a1, Faculty of Sciences and Mathematics, 18000 Ni\u00c5\u00a1, Serbia","institution_ids":["https://openalex.org/I152518017"]},{"raw_affiliation_string":"Serbian Academy of Sciences and Arts, 11000 Belgrade, Kneza Mihaila 35, Serbia","institution_ids":["https://openalex.org/I1338511612"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047944714"],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":null,"apc_paid":null,"fwci":1.4683,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.79172669,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"93","issue":"347","first_page":"1297","last_page":"1308"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9819999933242798,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5251811742782593},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46939554810523987},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.4528253674507141},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4356968104839325},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1542632281780243},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08811867237091064}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5251811742782593},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46939554810523987},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.4528253674507141},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4356968104839325},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1542632281780243},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08811867237091064}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/mcom/3892","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3892","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W197104422","https://openalex.org/W2086181948","https://openalex.org/W2483291716"],"related_works":["https://openalex.org/W2087855825","https://openalex.org/W1509548334","https://openalex.org/W1973827263","https://openalex.org/W2320116587","https://openalex.org/W4385847186","https://openalex.org/W4234896028","https://openalex.org/W2356639438","https://openalex.org/W1976810887","https://openalex.org/W2368602817","https://openalex.org/W2152413988"],"abstract_inverted_index":{"The":[0,96],"principal":[1],"tool":[2],"of":[3,31,121,130],"computation":[4],"used":[5],"in":[6,35,138],"this":[7],"paper":[8,97],"is":[9,39,44],"classical":[10],"Gaussian":[11],"quadrature":[12],"on":[13,47],"the":[14,29,32,42,105,112,122,124,131],"interval":[15],"[0,1],":[16],"which":[17,133],"happens":[18],"to":[19,92,101,127],"be":[20],"particularly":[21],"effective":[22],"here.":[23],"Explicit":[24],"expressions":[25],"are":[26,88],"found":[27],"for":[28,84],"derivatives":[30],"Ramanujan":[33],"integral":[34,107],"question,":[36],"and":[37],"it":[38],"proved":[40],"that":[41],"latter":[43],"completely":[45],"monotone":[46],"<inline-formula":[48],"content-type=\"math/mathml\">":[49],"<mml:math":[50],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[51],"alttext=\"left-parenthesis":[52],"0":[53],"comma":[54],"normal":[55],"infinity":[56],"right-parenthesis\">":[57],"<mml:semantics>":[58],"<mml:mrow>":[59],"<mml:mo":[60,68],"stretchy=\"false\">(</mml:mo>":[61],"<mml:mn>0</mml:mn>":[62],"<mml:mo>,</mml:mo>":[63],"<mml:mi":[64],"mathvariant=\"normal\">":[65],"\u221e":[66],"</mml:mi>":[67],"stretchy=\"false\">)</mml:mo>":[69],"</mml:mrow>":[70],"<mml:annotation":[71],"encoding=\"application/x-tex\">(0,\\infty":[72],")</mml:annotation>":[73],"</mml:semantics>":[74],"</mml:math>":[75],"</inline-formula>":[76],".":[77],"As":[78],"a":[79,117,135],"byproduct,":[80],"known":[81,110],"series":[82],"expansions":[83],"incomplete":[85],"gamma":[86,113],"functions":[87],"examined":[89],"with":[90],"regard":[91],"their":[93],"convergence":[94],"properties.":[95],"also":[98],"pays":[99],"attention":[100],"another":[102],"famous":[103],"integral,":[104],"Euler":[106],"\u2014":[108,115],"better":[109],"as":[111],"function":[114],"revitalizing":[116],"largely":[118],"neglected":[119],"part":[120,125],"function,":[123],"corresponding":[126],"negative":[128],"values":[129],"argument,":[132],"plays":[134],"prominent":[136],"role":[137],"our":[139],"work.":[140]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-04-23T06:14:38.165362","created_date":"2025-10-10T00:00:00"}
