{"id":"https://openalex.org/W227242547","doi":null,"title":"Some Theorems on Generating Functions","display_name":"Some Theorems on Generating Functions","publication_year":2007,"publication_date":"2007-09-01","ids":{"openalex":"https://openalex.org/W227242547","mag":"227242547"},"language":"en","primary_location":{"id":"mag:227242547","doi":null,"is_oa":false,"landing_page_url":"http://dspace.kci.go.kr/handle/kci/111303?show=full","pdf_url":null,"source":{"id":"https://openalex.org/S2737587141","display_name":"Kyungpook mathematical journal","issn_l":"0454-8124","issn":["0454-8124","1225-6951"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","kci-registered","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319447","host_organization_name":"Kyungpook National University","host_organization_lineage":["https://openalex.org/P4310319447"],"host_organization_lineage_names":["Kyungpook National University"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Kyungpook mathematical journal","raw_type":null},"parent_works":[],"lineage":["https://openalex.org/W227242547"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":[],"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/A5064933499","display_name":"Mahmood Ahmad Pathan","orcid":"https://orcid.org/0000-0003-3918-7901","observed_orcids":["https://orcid.org/0000-0003-3918-7901"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. A. Pathan","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-3918-7901","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5004908124","display_name":"Mohannad J. S. Shahwan","orcid":"https://orcid.org/0000-0003-1488-6319","observed_orcids":["https://orcid.org/0000-0003-1488-6319"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mohannad J. S. Shahwan","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1488-6319","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":"47","issue":"3","first_page":"373","last_page":"380"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11191","display_name":"Mathematical functions and polynomials","score":0.9911999702453613,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9911999702453613,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.006099999882280827,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.0007999999797903001,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/generating-functions","display_name":"generating functions","score":0.984000027179718},{"id":"https://openalex.org/keywords/gaussian-hypergeometric-function","display_name":"Gauss hypergeometric function","score":0.8479999899864197},{"id":"https://openalex.org/keywords/appell-hypergeometric-functions","display_name":"Appell hypergeometric functions","score":0.9049999713897705},{"id":"https://openalex.org/keywords/bilateral-generating-functions","display_name":"bilateral generating functions","score":0.777999997138977},{"id":"https://openalex.org/keywords/generating-relations","display_name":"generating relations","score":0.5590000152587891}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.886398196220398},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.7718683481216431},{"id":"https://openalex.org/C197320386","wikidata":"https://www.wikidata.org/wiki/Q21028472","display_name":"Hypergeometric function","level":2,"score":0.737606406211853},{"id":"https://openalex.org/C181881257","wikidata":"https://www.wikidata.org/wiki/Q4780998","display_name":"Appell series","level":5,"score":0.6653501987457275},{"id":"https://openalex.org/C176671685","wikidata":"https://www.wikidata.org/wiki/Q730600","display_name":"Hypergeometric distribution","level":2,"score":0.5570272207260132},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4980154037475586},{"id":"https://openalex.org/C60400383","wikidata":"https://www.wikidata.org/wiki/Q17028407","display_name":"Hypergeometric identity","level":5,"score":0.4683607816696167},{"id":"https://openalex.org/C204911207","wikidata":"https://www.wikidata.org/wiki/Q860609","display_name":"Generating function","level":2,"score":0.4540953040122986},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4507583677768707},{"id":"https://openalex.org/C158241908","wikidata":"https://www.wikidata.org/wiki/Q109744257","display_name":"Generalized hypergeometric function","level":3,"score":0.35385677218437195},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26995912194252014},{"id":"https://openalex.org/C165175332","wikidata":"https://www.wikidata.org/wiki/Q5958021","display_name":"Hypergeometric function of a matrix argument","level":4,"score":0.2270049750804901},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:227242547","doi":null,"is_oa":false,"landing_page_url":"http://dspace.kci.go.kr/handle/kci/111303?show=full","pdf_url":null,"source":{"id":"https://openalex.org/S2737587141","display_name":"Kyungpook mathematical journal","issn_l":"0454-8124","issn":["0454-8124","1225-6951"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","kci-registered","poland-20","russia-white-list-2"],"host_organization":"https://openalex.org/P4310319447","host_organization_name":"Kyungpook National University","host_organization_lineage":["https://openalex.org/P4310319447"],"host_organization_lineage_names":["Kyungpook National University"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Kyungpook mathematical journal","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1499718604","https://openalex.org/W1556203866","https://openalex.org/W2017694876","https://openalex.org/W2023507761","https://openalex.org/W2064405705","https://openalex.org/W2080261998","https://openalex.org/W2320835042"],"related_works":["https://openalex.org/W2046252282","https://openalex.org/W7215622696","https://openalex.org/W4320037103","https://openalex.org/W2028999031","https://openalex.org/W4365459585","https://openalex.org/W4391097847","https://openalex.org/W2013598655","https://openalex.org/W4241550070","https://openalex.org/W4312786740","https://openalex.org/W1845353073"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"derive":[4],"some":[5],"generating":[6,29],"relations":[7],"involving":[8],"Konhauser":[9],"poly-":[10],"nomials,":[11],"Gauss,":[12],"Humbert,":[13],"Appell":[14],"and":[15,33,38],"Kampe":[16],"de":[17],"Feriet":[18],"hypergeometric":[19],"functions":[20,30],"with":[21],"the":[22],"help":[23],"of":[24,36],"four":[25],"general":[26],"theorems":[27],"on":[28],"(partly":[31],"unilateral":[32],"partly":[34],"bilateral)":[35],"one":[37],"two":[39],"variables.":[40]},"counts_by_year":[],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2016-06-24T00:00:00"}