{"id":"https://openalex.org/W4309426115","doi":"https://doi.org/10.1007/s40314-022-02116-6","title":"Approximate solution of Cauchy integral equations by using Lucas polynomials","display_name":"Approximate solution of Cauchy integral equations by using Lucas polynomials","publication_year":2022,"publication_date":"2022-11-20","ids":{"openalex":"https://openalex.org/W4309426115","doi":"https://doi.org/10.1007/s40314-022-02116-6"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-022-02116-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-02116-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","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/A5084197852","display_name":"A. M. S. Mahdy","orcid":"https://orcid.org/0000-0003-2218-5408"},"institutions":[{"id":"https://openalex.org/I179331831","display_name":"Taif University","ror":"https://ror.org/014g1a453","country_code":"SA","type":"education","lineage":["https://openalex.org/I179331831"]},{"id":"https://openalex.org/I192398990","display_name":"Zagazig University","ror":"https://ror.org/053g6we49","country_code":"EG","type":"education","lineage":["https://openalex.org/I192398990"]}],"countries":["EG","SA"],"is_corresponding":true,"raw_author_name":"A. M. S. Mahdy","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif, 21944, Saudi Arabia","Department of Mathematics, Faculty of Science, Zagazig University, P. O. Box 44519, Zagazig, Egypt"],"raw_orcid":"https://orcid.org/0000-0003-2218-5408","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif, 21944, Saudi Arabia","institution_ids":["https://openalex.org/I179331831"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Zagazig University, P. O. Box 44519, Zagazig, Egypt","institution_ids":["https://openalex.org/I192398990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112280994","display_name":"D. Sh. Mohamed","orcid":null},"institutions":[{"id":"https://openalex.org/I192398990","display_name":"Zagazig University","ror":"https://ror.org/053g6we49","country_code":"EG","type":"education","lineage":["https://openalex.org/I192398990"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"D. Sh. Mohamed","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Zagazig University, P. O. Box 44519, Zagazig, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Zagazig University, P. O. Box 44519, Zagazig, Egypt","institution_ids":["https://openalex.org/I192398990"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5084197852"],"corresponding_institution_ids":["https://openalex.org/I179331831","https://openalex.org/I192398990"],"apc_list":null,"apc_paid":null,"fwci":4.6011,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.9613731,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"41","issue":"8","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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":0.9629999995231628,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9574000239372253,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/mathematics","display_name":"Mathematics","score":0.7918139696121216},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6657153964042664},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.6191643476486206},{"id":"https://openalex.org/keywords/chebyshev-nodes","display_name":"Chebyshev nodes","score":0.5716601014137268},{"id":"https://openalex.org/keywords/maple","display_name":"Maple","score":0.5511627793312073},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4901469647884369},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.4748166799545288},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.4500111937522888},{"id":"https://openalex.org/keywords/monic-polynomial","display_name":"Monic polynomial","score":0.4232892394065857},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.4213709235191345},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3917240500450134},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24011710286140442},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.14071691036224365}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7918139696121216},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6657153964042664},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.6191643476486206},{"id":"https://openalex.org/C171326582","wikidata":"https://www.wikidata.org/wiki/Q1052508","display_name":"Chebyshev nodes","level":3,"score":0.5716601014137268},{"id":"https://openalex.org/C2780414537","wikidata":"https://www.wikidata.org/wiki/Q42292","display_name":"Maple","level":2,"score":0.5511627793312073},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4901469647884369},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4748166799545288},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.4500111937522888},{"id":"https://openalex.org/C163635466","wikidata":"https://www.wikidata.org/wiki/Q3099696","display_name":"Monic polynomial","level":3,"score":0.4232892394065857},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.4213709235191345},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3917240500450134},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24011710286140442},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.14071691036224365},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-022-02116-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-02116-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","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":25,"referenced_works":["https://openalex.org/W292277515","https://openalex.org/W588687038","https://openalex.org/W628450978","https://openalex.org/W1582171922","https://openalex.org/W1972189010","https://openalex.org/W1984539110","https://openalex.org/W1989721420","https://openalex.org/W1989750818","https://openalex.org/W2009101705","https://openalex.org/W2022896466","https://openalex.org/W2037080497","https://openalex.org/W2071471747","https://openalex.org/W2087966573","https://openalex.org/W2089448982","https://openalex.org/W2091819343","https://openalex.org/W2178883659","https://openalex.org/W2505714894","https://openalex.org/W2606882024","https://openalex.org/W2754639138","https://openalex.org/W2767402708","https://openalex.org/W2799425906","https://openalex.org/W3091262375","https://openalex.org/W3137632108","https://openalex.org/W4211049800","https://openalex.org/W4283802501"],"related_works":["https://openalex.org/W2021099221","https://openalex.org/W2112919228","https://openalex.org/W1988318322","https://openalex.org/W4390947848","https://openalex.org/W2187902229","https://openalex.org/W1997963656","https://openalex.org/W2034868998","https://openalex.org/W2894195618","https://openalex.org/W2017521389","https://openalex.org/W4384563453"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":9}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
