{"id":"https://openalex.org/W4407580296","doi":"https://doi.org/10.28924/2291-8639-23-2025-41","title":"Applications of Borel Distribution and Mittag-Leffler Function on a Class of Bi-Univalent Functions","display_name":"Applications of Borel Distribution and Mittag-Leffler Function on a Class of Bi-Univalent Functions","publication_year":2025,"publication_date":"2025-02-14","ids":{"openalex":"https://openalex.org/W4407580296","doi":"https://doi.org/10.28924/2291-8639-23-2025-41"},"language":"en","primary_location":{"id":"doi:10.28924/2291-8639-23-2025-41","doi":"https://doi.org/10.28924/2291-8639-23-2025-41","is_oa":true,"landing_page_url":"https://doi.org/10.28924/2291-8639-23-2025-41","pdf_url":"https://etamaths.com/index.php/ijaa/article/download/3811/1223","source":{"id":"https://openalex.org/S2738108037","display_name":"International Journal of Analysis and Applications","issn_l":"2291-8639","issn":["2291-8639"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","jufo-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310312907","host_organization_name":"Etamaths Publishing","host_organization_lineage":["https://openalex.org/P4310312907"],"host_organization_lineage_names":["Etamaths Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Analysis and Applications","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://etamaths.com/index.php/ijaa/article/download/3811/1223","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013967551","display_name":"Waleed Al-Rawashdeh","orcid":"https://orcid.org/0000-0002-3165-5208","observed_orcids":["https://orcid.org/0000-0002-3165-5208"]},"institutions":[{"id":"https://openalex.org/I153687341","display_name":"Zarqa University","ror":"https://ror.org/01wf1es90","country_code":"JO","type":"education","lineage":["https://openalex.org/I153687341"]}],"countries":["JO"],"is_corresponding":true,"raw_author_name":"Waleed Al-Rawashdeh","raw_affiliation_strings":["Department of Mathematics , Zarqa University , Zarqa 13132 , Jordan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Zarqa University , Zarqa 13132 , Jordan","institution_ids":["https://openalex.org/I153687341"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5013967551"],"corresponding_institution_ids":["https://openalex.org/I153687341"],"apc_list":{"value":450,"currency":"USD","value_usd":450},"apc_paid":{"value":450,"currency":"USD","value_usd":450},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":null,"first_page":"41","last_page":"41"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11822","display_name":"Analytic and geometric function theory","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.0,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.0,"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/bi-univalent-functions","display_name":"bi-univalent functions","score":0.996999979019165},{"id":"https://openalex.org/keywords/mittag-leffler-function","display_name":"Mittag-Leffler function","score":1.0},{"id":"https://openalex.org/keywords/hadamard-product","display_name":"Hadamard product","score":0.9980000257492065},{"id":"https://openalex.org/keywords/fekete-szego-functional","display_name":"Fekete-Szeg\u00f6 functional","score":0.9419999718666077},{"id":"https://openalex.org/keywords/unit-disk","display_name":"unit disk","score":0.7910000085830688},{"id":"https://openalex.org/keywords/analytic-functions","display_name":"analytic functions","score":0.7149999737739563}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.803776741027832},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6517893671989441},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5458061099052429},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5003767013549805},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4745498597621918},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.4259367883205414},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2274019718170166},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.09454891085624695},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08488228917121887},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08155196905136108},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.060792118310928345},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.28924/2291-8639-23-2025-41","doi":"https://doi.org/10.28924/2291-8639-23-2025-41","is_oa":true,"landing_page_url":"https://doi.org/10.28924/2291-8639-23-2025-41","pdf_url":"https://etamaths.com/index.php/ijaa/article/download/3811/1223","source":{"id":"https://openalex.org/S2738108037","display_name":"International Journal of Analysis and Applications","issn_l":"2291-8639","issn":["2291-8639"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","jufo-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310312907","host_organization_name":"Etamaths Publishing","host_organization_lineage":["https://openalex.org/P4310312907"],"host_organization_lineage_names":["Etamaths Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Analysis and Applications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.28924/2291-8639-23-2025-41","doi":"https://doi.org/10.28924/2291-8639-23-2025-41","is_oa":true,"landing_page_url":"https://doi.org/10.28924/2291-8639-23-2025-41","pdf_url":"https://etamaths.com/index.php/ijaa/article/download/3811/1223","source":{"id":"https://openalex.org/S2738108037","display_name":"International Journal of Analysis and Applications","issn_l":"2291-8639","issn":["2291-8639"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","jufo-1","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310312907","host_organization_name":"Etamaths Publishing","host_organization_lineage":["https://openalex.org/P4310312907"],"host_organization_lineage_names":["Etamaths Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Analysis and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320326306","display_name":"Zarqa University","ror":"https://ror.org/01wf1es90"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407580296.pdf","grobid_xml":"https://content.openalex.org/works/W4407580296.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1993621494","https://openalex.org/W2027729273","https://openalex.org/W2045350842","https://openalex.org/W2054180108","https://openalex.org/W2070384239","https://openalex.org/W2083933580","https://openalex.org/W2134197866","https://openalex.org/W2277670494","https://openalex.org/W2761672173","https://openalex.org/W2902400707","https://openalex.org/W2944127302","https://openalex.org/W2946742396","https://openalex.org/W3019868803","https://openalex.org/W3164273666","https://openalex.org/W3214788670","https://openalex.org/W3216408827","https://openalex.org/W4205808999","https://openalex.org/W4221050153","https://openalex.org/W4293222166","https://openalex.org/W4390401108","https://openalex.org/W4391531694","https://openalex.org/W4392779459","https://openalex.org/W4398146925","https://openalex.org/W4403934099"],"related_works":["https://openalex.org/W4403777302","https://openalex.org/W4400450254","https://openalex.org/W7141005182","https://openalex.org/W4388674486","https://openalex.org/W4398146925","https://openalex.org/W4410003083","https://openalex.org/W7160866695","https://openalex.org/W4414623497","https://openalex.org/W4409183994","https://openalex.org/W4401207433"],"abstract_inverted_index":{"In":[0],"this":[1,58,92],"study,":[2],"we":[3,63,77],"present":[4],"a":[5],"novel":[6],"class":[7],"of":[8,33,87],"bi-univalent":[9],"functions":[10,54],"that":[11,55,82],"incorporates":[12],"the":[13,17,21,31,34,41,49,65,88],"Borel":[14],"distribution":[15],"and":[16],"Mittag-Leffler":[18],"function":[19,37],"within":[20,57],"open":[22],"unit":[23],"disk":[24],"D.":[25],"This":[26],"is":[27,47],"achieved":[28],"by":[29],"employing":[30],"q-analog":[32],"hyperbolic":[35],"tangent":[36],"in":[38],"conjunction":[39],"with":[40,91],"Hadamard":[42],"product.":[43],"The":[44],"primary":[45],"goal":[46],"determining":[48],"initial":[50],"coefficient":[51],"bounds":[52],"for":[53],"fall":[56],"newly":[59],"defined":[60],"class.":[61,93],"Additionally,":[62],"explore":[64],"classical":[66],"Fekete-Szeg\u00f6":[67],"functional":[68],"problem":[69],"as":[70],"it":[71],"pertains":[72],"to":[73],"these":[74],"functions.":[75],"Moreover,":[76],"highlight":[78],"several":[79],"known":[80],"corollaries":[81],"arise":[83],"from":[84],"specific":[85],"selections":[86],"parameters":[89],"associated":[90]},"counts_by_year":[],"updated_date":"2026-11-13T13:42:25.865203","created_date":"2025-02-15T00:00:00"}