{"id":"https://openalex.org/W7219928519","doi":null,"title":"A Unified Geometric Function Theory Framework for Subordination\u2013Superordination Preserving Transformations via Wright-Type Generalized Hypergeometric Integral Operators in Multivalent Function Classes","display_name":"A Unified Geometric Function Theory Framework for Subordination\u2013Superordination Preserving Transformations via Wright-Type Generalized Hypergeometric Integral Operators in Multivalent Function Classes","publication_year":2026,"publication_date":"2026-07-01","ids":{"openalex":"https://openalex.org/W7219928519"},"language":"en","primary_location":{"id":"pmh:oai:ojs2.parthenonfrontiers.com:article/676","doi":null,"is_oa":true,"landing_page_url":"https://parthenonfrontiers.com/index.php/index/article/view/676","pdf_url":null,"source":{"id":"https://openalex.org/S7407080219","display_name":"European Journal of Emerging Engineering and Mathematics","issn_l":"3087-4572","issn":["3087-4572"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"3087-4572","raw_type":"info:eu-repo/semantics/article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://parthenonfrontiers.com/index.php/index/article/view/676","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5157323739","display_name":"Dr. Galih Prakoso","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dr. Galih Prakoso","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5157159960","display_name":"Dr. Wulan Sari","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dr. Wulan Sari","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"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":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.9994999766349792,"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":0.9994999766349792,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":9.999999747378752e-05,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":9.999999747378752e-05,"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/multivalent-functions","display_name":"multivalent functions","score":0.9869999885559082},{"id":"https://openalex.org/keywords/differential-subordination","display_name":"differential subordination","score":0.828000009059906},{"id":"https://openalex.org/keywords/starlikeness","display_name":"starlikeness","score":0.7319999933242798},{"id":"https://openalex.org/keywords/convexity","display_name":"convexity","score":0.996999979019165},{"id":"https://openalex.org/keywords/univalence","display_name":"univalence","score":0.9330000281333923},{"id":"https://openalex.org/keywords/fractional-integral-operators","display_name":"fractional integral operators","score":0.6320000290870667},{"id":"https://openalex.org/keywords/analytic-continuation","display_name":"analytic continuation","score":0.4749999940395355}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7551000118255615},{"id":"https://openalex.org/C205979905","wikidata":"https://www.wikidata.org/wiki/Q215084","display_name":"Analytic function","level":2,"score":0.5289999842643738},{"id":"https://openalex.org/C2777406531","wikidata":"https://www.wikidata.org/wiki/Q2031017","display_name":"Subordination (linguistics)","level":2,"score":0.5141000151634216},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.49880000948905945},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4700999855995178},{"id":"https://openalex.org/C151602998","wikidata":"https://www.wikidata.org/wiki/Q485287","display_name":"Analytic continuation","level":2,"score":0.46459999680519104},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4487999975681305},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43720000982284546},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.43529999256134033},{"id":"https://openalex.org/C197320386","wikidata":"https://www.wikidata.org/wiki/Q21028472","display_name":"Hypergeometric function","level":2,"score":0.43149998784065247},{"id":"https://openalex.org/C191832335","wikidata":"https://www.wikidata.org/wiki/Q4262191","display_name":"Fourier integral operator","level":3,"score":0.42899999022483826},{"id":"https://openalex.org/C200052193","wikidata":"https://www.wikidata.org/wiki/Q877802","display_name":"Integral transform","level":2,"score":0.4219000041484833},{"id":"https://openalex.org/C69151251","wikidata":"https://www.wikidata.org/wiki/Q846537","display_name":"Generalized function","level":2,"score":0.36880001425743103},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36340001225471497},{"id":"https://openalex.org/C158241908","wikidata":"https://www.wikidata.org/wiki/Q109744257","display_name":"Generalized hypergeometric function","level":3,"score":0.34880000352859497},{"id":"https://openalex.org/C112468886","wikidata":"https://www.wikidata.org/wiki/Q5535485","display_name":"Geometric function theory","level":3,"score":0.34209999442100525},{"id":"https://openalex.org/C43929395","wikidata":"https://www.wikidata.org/wiki/Q1198874","display_name":"Operator theory","level":2,"score":0.3400999903678894},{"id":"https://openalex.org/C90230998","wikidata":"https://www.wikidata.org/wiki/Q3406746","display_name":"Hadamard product","level":3,"score":0.3068999946117401},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3050999939441681},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.29670000076293945},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.2784999907016754},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2703999876976013},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.2660999894142151},{"id":"https://openalex.org/C178260045","wikidata":"https://www.wikidata.org/wiki/Q2608535","display_name":"Univalent function","level":3,"score":0.2606000006198883},{"id":"https://openalex.org/C176671685","wikidata":"https://www.wikidata.org/wiki/Q730600","display_name":"Hypergeometric distribution","level":2,"score":0.25949999690055847},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.2578999996185303},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.25600001215934753},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.2508000135421753},{"id":"https://openalex.org/C129683796","wikidata":"https://www.wikidata.org/wiki/Q430450","display_name":"Microlocal analysis","level":4,"score":0.25060001015663147}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:ojs2.parthenonfrontiers.com:article/676","doi":null,"is_oa":true,"landing_page_url":"https://parthenonfrontiers.com/index.php/index/article/view/676","pdf_url":null,"source":{"id":"https://openalex.org/S7407080219","display_name":"European Journal of Emerging Engineering and Mathematics","issn_l":"3087-4572","issn":["3087-4572"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"3087-4572","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:ojs2.parthenonfrontiers.com:article/676","doi":null,"is_oa":true,"landing_page_url":"https://parthenonfrontiers.com/index.php/index/article/view/676","pdf_url":null,"source":{"id":"https://openalex.org/S7407080219","display_name":"European Journal of Emerging Engineering and Mathematics","issn_l":"3087-4572","issn":["3087-4572"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"3087-4572","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1532770399","https://openalex.org/W2095218676","https://openalex.org/W2070510923","https://openalex.org/W2139077405","https://openalex.org/W7098377280","https://openalex.org/W2093065883","https://openalex.org/W2625509171","https://openalex.org/W4226394379","https://openalex.org/W2962787015","https://openalex.org/W4407303199"],"abstract_inverted_index":{"This":[0],"paper":[1],"develops":[2],"a":[3,44,71,146,171],"unified":[4,147],"geometric":[5,30,102,138],"function":[6,24,31,67,178],"theory":[7,165],"framework":[8,51,158],"for":[9,119,149],"analyzing":[10],"subordination\u2013superordination":[11,40],"preserving":[12,101],"transformations":[13],"generated":[14],"by":[15,59],"Wright-type":[16,133],"generalized":[17,45,62],"hypergeometric":[18,63],"integral":[19,35,56,87,134],"operators":[20,135],"within":[21],"multivalent":[22,66],"analytic":[23,47,91,128,155,177],"classes.":[25],"The":[26,49,113,157],"study":[27,114],"integrates":[28],"classical":[29],"theory,":[32,37],"fractional":[33,167],"and":[34,38,55,77,90,108,121,127,144,166],"operator":[36,57,111,168],"modern":[39],"techniques":[41],"to":[42],"construct":[43],"operator-based":[46],"structure.":[48],"proposed":[50],"extends":[52],"existing":[53],"linear":[54],"approaches":[58],"embedding":[60],"Wright":[61],"functions":[64],"into":[65],"transformations,":[68],"thereby":[69],"enabling":[70],"broader":[72],"characterization":[73],"of":[74,94,153,176],"inclusion,":[75],"dominance,":[76],"invariance":[78],"properties.The":[79],"theoretical":[80],"foundation":[81],"relies":[82],"on":[83,100],"differential":[84,163],"subordination":[85,120,164],"principles,":[86],"transform":[88],"operators,":[89],"continuation":[92],"properties":[93,103,139],"hypergeometric-type":[95],"functions.":[96,156],"Emphasis":[97],"is":[98],"placed":[99],"such":[104],"as":[105],"starlikeness,":[106],"convexity,":[107],"univalence":[109],"under":[110,140],"action.":[112],"further":[115],"establishes":[116],"sufficient":[117],"conditions":[118,143],"superordination":[122],"preservation":[123],"using":[124],"structured":[125],"inequalities":[126],"constraints.The":[129],"results":[130,161],"demonstrate":[131],"that":[132],"preserve":[136],"key":[137],"appropriate":[141],"parameter":[142],"provide":[145],"mechanism":[148],"mapping":[150],"between":[151],"subclasses":[152],"p-valent":[154],"generalizes":[159],"earlier":[160],"in":[162],"analysis,":[169],"offering":[170],"more":[172],"comprehensive":[173],"structural":[174],"understanding":[175],"transformations.":[179]},"counts_by_year":[],"updated_date":"2026-10-06T10:28:23.643775","created_date":"2026-10-05T00:00:00"}
