{"id":"https://openalex.org/W4412874183","doi":"https://doi.org/10.1007/s40065-025-00543-x","title":"Novel representations of $$\\log 2$$ with polynomial continued fractions","display_name":"Novel representations of $$\\log 2$$ with polynomial continued fractions","publication_year":2025,"publication_date":"2025-07-19","ids":{"openalex":"https://openalex.org/W4412874183","doi":"https://doi.org/10.1007/s40065-025-00543-x"},"language":"en","primary_location":{"id":"doi:10.1007/s40065-025-00543-x","doi":"https://doi.org/10.1007/s40065-025-00543-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40065-025-00543-x","pdf_url":null,"source":{"id":"https://openalex.org/S2764614636","display_name":"Arabian Journal of Mathematics","issn_l":"2193-5351","issn":["2193-5351","2193-5343"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Arabian Journal of Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5029144735","display_name":"Shirali Kadyrov","orcid":"https://orcid.org/0000-0002-8352-2597","observed_orcids":["https://orcid.org/0000-0002-8352-2597"]},"institutions":[{"id":"https://openalex.org/I4387155254","display_name":"New Uzbekistan University","ror":"https://ror.org/035v3tr79","country_code":"UZ","type":"education","lineage":["https://openalex.org/I4387155254"]},{"id":"https://openalex.org/I47151758","display_name":"National University of Uzbekistan","ror":"https://ror.org/011647w73","country_code":"UZ","type":"education","lineage":["https://openalex.org/I47151758"]}],"countries":["UZ"],"is_corresponding":false,"raw_author_name":"Shirali Kadyrov","raw_affiliation_strings":["Department of General Education, New Uzbekistan University, Tashkent, Uzbekistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of General Education, New Uzbekistan University, Tashkent, Uzbekistan","institution_ids":["https://openalex.org/I4387155254","https://openalex.org/I47151758"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067180736","display_name":"Nurdaulet Shynarbek","orcid":"https://orcid.org/0000-0001-6853-0858","observed_orcids":["https://orcid.org/0000-0001-6853-0858"]},"institutions":[{"id":"https://openalex.org/I4210120897","display_name":"Suleyman Demirel University","ror":"https://ror.org/02s8x5a25","country_code":"KZ","type":"education","lineage":["https://openalex.org/I4210120897"]}],"countries":["KZ"],"is_corresponding":true,"raw_author_name":"Nurdaulet Shynarbek","raw_affiliation_strings":["Department of Pedagogy of Natural Sciences, SDU University, Kaskelen, Kazakhstan"],"raw_orcid":"https://orcid.org/0000-0001-6853-0858","affiliations":[{"raw_affiliation_string":"Department of Pedagogy of Natural Sciences, SDU University, Kaskelen, Kazakhstan","institution_ids":["https://openalex.org/I4210120897"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064302341","display_name":"Alibek Orynbassar","orcid":"https://orcid.org/0000-0002-2943-9987","observed_orcids":["https://orcid.org/0000-0002-2943-9987"]},"institutions":[{"id":"https://openalex.org/I4210120897","display_name":"Suleyman Demirel University","ror":"https://ror.org/02s8x5a25","country_code":"KZ","type":"education","lineage":["https://openalex.org/I4210120897"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"Alibek Orynbassar","raw_affiliation_strings":["Department of Pedagogy of Natural Sciences, SDU University, Kaskelen, Kazakhstan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pedagogy of Natural Sciences, SDU University, Kaskelen, Kazakhstan","institution_ids":["https://openalex.org/I4210120897"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047165359","display_name":"Muhammad Ateeq Tahir","orcid":"https://orcid.org/0000-0001-5216-6844","observed_orcids":["https://orcid.org/0000-0001-5216-6844"]},"institutions":[{"id":"https://openalex.org/I3130577743","display_name":"Narxoz University","ror":"https://ror.org/0523w7v09","country_code":"KZ","type":"education","lineage":["https://openalex.org/I3130577743"]}],"countries":["KZ"],"is_corresponding":false,"raw_author_name":"Muhammad Ateeq Tahir","raw_affiliation_strings":["School of Digital Technologies, Narxoz University, Almaty, Kazakhstan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Digital Technologies, Narxoz University, Almaty, Kazakhstan","institution_ids":["https://openalex.org/I3130577743"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5067180736"],"corresponding_institution_ids":["https://openalex.org/I4210120897"],"apc_list":null,"apc_paid":null,"fwci":1.3681,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.70361528,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"15","issue":"1","first_page":"247","last_page":"254"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9970999956130981,"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":0.9970999956130981,"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":0.002099999925121665,"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":0.0003000000142492354,"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/polynomial-continued-fractions","display_name":"polynomial continued fractions","score":0.9879999756813049},{"id":"https://openalex.org/keywords/continued-fraction-expansion","display_name":"continued fraction expansion","score":0.7110000252723694},{"id":"https://openalex.org/keywords/mathematical-constants","display_name":"mathematical constants","score":0.7480000257492065}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.787509560585022},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6198486089706421},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46750080585479736},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32879477739334106},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.32109421491622925},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2638034224510193},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12757456302642822}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40065-025-00543-x","doi":"https://doi.org/10.1007/s40065-025-00543-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40065-025-00543-x","pdf_url":null,"source":{"id":"https://openalex.org/S2764614636","display_name":"Arabian Journal of Mathematics","issn_l":"2193-5351","issn":["2193-5351","2193-5343"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Arabian Journal of Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3658601214","display_name":null,"funder_award_id":"AP19676669","funder_id":"https://openalex.org/F4320322726","funder_display_name":"Ministry of Education and Science of the Republic of Kazakhstan"}],"funders":[{"id":"https://openalex.org/F4320322726","display_name":"Ministry of Education and Science of the Republic of Kazakhstan","ror":"https://ror.org/03pj6ge82"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W2031998878","https://openalex.org/W2073085121","https://openalex.org/W2095858632","https://openalex.org/W2487013222","https://openalex.org/W2954265922","https://openalex.org/W2963064561","https://openalex.org/W3126862140","https://openalex.org/W4385680941","https://openalex.org/W6600632366","https://openalex.org/W6601712973"],"related_works":["https://openalex.org/W2013583537","https://openalex.org/W2049042340","https://openalex.org/W1487270560","https://openalex.org/W7153355725","https://openalex.org/W2012547542","https://openalex.org/W4287112671","https://openalex.org/W2607915653","https://openalex.org/W7162786635","https://openalex.org/W2082508188","https://openalex.org/W7133330941"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2025-10-10T00:00:00"}
