{"id":"https://openalex.org/W2079997965","doi":"https://doi.org/10.1016/0304-3975(94)00281-m","title":"Mellin transforms and asymptotics: Finite differences and Rice's integrals","display_name":"Mellin transforms and asymptotics: Finite differences and Rice's integrals","publication_year":1995,"publication_date":"1995-06-01","ids":{"openalex":"https://openalex.org/W2079997965","doi":"https://doi.org/10.1016/0304-3975(94)00281-m","mag":"2079997965"},"language":"en","primary_location":{"id":"doi:10.1016/0304-3975(94)00281-m","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0304-3975(94)00281-m","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/inria-00074439","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018743761","display_name":"Philippe Flajolet","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Philippe Flajolet","raw_affiliation_strings":["Algorithms Project, INRIA, Rocquencourt, F-78153 Le Chesnay, France","Algorithms Project, INRIA\u2010Rocquencourt, F\u201078153 Le Chesnay, France"],"affiliations":[{"raw_affiliation_string":"Algorithms Project, INRIA, Rocquencourt, F-78153 Le Chesnay, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Algorithms Project, INRIA\u2010Rocquencourt, F\u201078153 Le Chesnay, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077370067","display_name":"Robert Sedgewick","orcid":null},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert Sedgewick","raw_affiliation_strings":["Department of Computer Science, Princeton University, Princeton, NJ 08544, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Princeton University, Princeton, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077370067"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":9.9968,"has_fulltext":false,"cited_by_count":207,"citation_normalized_percentile":{"value":0.98058989,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"144","issue":"1-2","first_page":"101","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9768999814987183,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/mellin-transform","display_name":"Mellin transform","score":0.7629481554031372},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6306533813476562},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5914739370346069},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.5876655578613281},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4893881678581238},{"id":"https://openalex.org/keywords/methods-of-contour-integration","display_name":"Methods of contour integration","score":0.47246289253234863},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3784914016723633},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3700817823410034},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3466728627681732},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26049840450286865},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23349550366401672},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1444755494594574},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.07811155915260315}],"concepts":[{"id":"https://openalex.org/C199874217","wikidata":"https://www.wikidata.org/wiki/Q606934","display_name":"Mellin transform","level":3,"score":0.7629481554031372},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6306533813476562},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5914739370346069},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.5876655578613281},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4893881678581238},{"id":"https://openalex.org/C113285462","wikidata":"https://www.wikidata.org/wiki/Q856103","display_name":"Methods of contour integration","level":2,"score":0.47246289253234863},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3784914016723633},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3700817823410034},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3466728627681732},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26049840450286865},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23349550366401672},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1444755494594574},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.07811155915260315},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/0304-3975(94)00281-m","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0304-3975(94)00281-m","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:hdl:10068/56786","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/56786","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"R - Report"},{"id":"pmh:oai:HAL:inria-00074439v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00074439","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"[Research Report] RR-2231, INRIA. 1994","raw_type":"Reports"}],"best_oa_location":{"id":"pmh:oai:HAL:inria-00074439v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00074439","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"[Research Report] RR-2231, INRIA. 1994","raw_type":"Reports"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W73235108","https://openalex.org/W82672431","https://openalex.org/W269398838","https://openalex.org/W579204254","https://openalex.org/W1506707624","https://openalex.org/W1513153538","https://openalex.org/W1569990823","https://openalex.org/W1572192843","https://openalex.org/W1597637931","https://openalex.org/W1662706126","https://openalex.org/W1968246336","https://openalex.org/W1971361861","https://openalex.org/W1974784305","https://openalex.org/W1992963068","https://openalex.org/W1998556530","https://openalex.org/W2013013264","https://openalex.org/W2016274785","https://openalex.org/W2018919817","https://openalex.org/W2024971556","https://openalex.org/W2030214024","https://openalex.org/W2034665194","https://openalex.org/W2039343706","https://openalex.org/W2067215545","https://openalex.org/W2069195880","https://openalex.org/W2073792589","https://openalex.org/W2079346522","https://openalex.org/W2081911349","https://openalex.org/W2084532840","https://openalex.org/W2096645015","https://openalex.org/W2106226212","https://openalex.org/W2109399488","https://openalex.org/W2137752330","https://openalex.org/W2161613033","https://openalex.org/W2568753013","https://openalex.org/W2586539072","https://openalex.org/W2752853835","https://openalex.org/W2791465356","https://openalex.org/W2799033969","https://openalex.org/W2896613462","https://openalex.org/W3027900649","https://openalex.org/W4212799367","https://openalex.org/W4250453066","https://openalex.org/W6603367127","https://openalex.org/W6630409931","https://openalex.org/W6634201388","https://openalex.org/W6676585935"],"related_works":["https://openalex.org/W2786944155","https://openalex.org/W2955400811","https://openalex.org/W4242796289","https://openalex.org/W1585007175","https://openalex.org/W650533595","https://openalex.org/W2619760485","https://openalex.org/W4387738927","https://openalex.org/W2932634742","https://openalex.org/W2028797758","https://openalex.org/W2763154765"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":14}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
