{"id":"https://openalex.org/W4409432569","doi":"https://doi.org/10.3390/sym17040595","title":"Some New Inequalities for the Gamma and Polygamma Functions","display_name":"Some New Inequalities for the Gamma and Polygamma Functions","publication_year":2025,"publication_date":"2025-04-14","ids":{"openalex":"https://openalex.org/W4409432569","doi":"https://doi.org/10.3390/sym17040595"},"language":"en","primary_location":{"id":"doi:10.3390/sym17040595","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17040595","pdf_url":"https://www.mdpi.com/2073-8994/17/4/595/pdf?version=1744635915","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/17/4/595/pdf?version=1744635915","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029419619","display_name":"Waad Al Sayed","orcid":null},"institutions":[{"id":"https://openalex.org/I3133211407","display_name":"Fahd bin Sultan University","ror":"https://ror.org/01epw0x06","country_code":"SA","type":"education","lineage":["https://openalex.org/I3133211407"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Waad Al Sayed","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Sciences and Humanities, Fahad Bin Sultan University, P.O. Box 15700, Tabuk 71454, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Sciences and Humanities, Fahad Bin Sultan University, P.O. Box 15700, Tabuk 71454, Saudi Arabia","institution_ids":["https://openalex.org/I3133211407"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046773198","display_name":"H.M. Moustafa","orcid":"https://orcid.org/0000-0002-2792-6239"},"institutions":[{"id":"https://openalex.org/I3133211407","display_name":"Fahd bin Sultan University","ror":"https://ror.org/01epw0x06","country_code":"SA","type":"education","lineage":["https://openalex.org/I3133211407"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Hesham Moustafa","raw_affiliation_strings":["Department of Mathematics and Statistics, College of Sciences and Humanities, Fahad Bin Sultan University, P.O. Box 15700, Tabuk 71454, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, College of Sciences and Humanities, Fahad Bin Sultan University, P.O. Box 15700, Tabuk 71454, Saudi Arabia","institution_ids":["https://openalex.org/I3133211407"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5029419619","https://openalex.org/A5046773198"],"corresponding_institution_ids":["https://openalex.org/I3133211407"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12599532,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"4","first_page":"595","last_page":"595"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9638000130653381,"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"}},"topics":[{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9638000130653381,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.7070152759552002},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6163724660873413},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4287380874156952},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38212907314300537},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38209396600723267},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2895137071609497},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.10413014888763428}],"concepts":[{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.7070152759552002},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6163724660873413},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4287380874156952},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38212907314300537},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38209396600723267},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2895137071609497},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.10413014888763428},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17040595","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17040595","pdf_url":"https://www.mdpi.com/2073-8994/17/4/595/pdf?version=1744635915","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/sym17040595","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17040595","pdf_url":"https://www.mdpi.com/2073-8994/17/4/595/pdf?version=1744635915","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409432569.pdf","grobid_xml":"https://content.openalex.org/works/W4409432569.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1560063022","https://openalex.org/W1977051755","https://openalex.org/W2007620044","https://openalex.org/W2060209168","https://openalex.org/W2071789471","https://openalex.org/W2096516649","https://openalex.org/W2963627844","https://openalex.org/W3014272419","https://openalex.org/W3032058569","https://openalex.org/W3164456292","https://openalex.org/W4285014216","https://openalex.org/W6702040086","https://openalex.org/W6805683619"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"In":[0],"this":[1,16],"paper,":[2],"we":[3,18,28,34],"present":[4,19],"some":[5,57],"new":[6,52],"symmetric":[7],"bounds":[8,53],"for":[9],"the":[10,47,59],"gamma":[11,23],"and":[12,24,27],"polygamma":[13,25],"functions.":[14],"For":[15],"goal,":[17],"two":[20],"functions":[21,26],"involving":[22],"investigate":[29,35],"their":[30,36],"complete":[31,48],"monotonicity.":[32],"Also,":[33],"completely":[37],"monotonic":[38],"degrees.":[39],"This":[40],"concept":[41],"gives":[42],"more":[43],"accuracy":[44],"in":[45],"measuring":[46],"monotonicity":[49],"property.":[50],"These":[51],"are":[54],"better":[55],"than":[56],"of":[58],"recently":[60],"published":[61],"results.":[62]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
