{"id":"https://openalex.org/W3045639733","doi":"https://doi.org/10.18514/mmn.2020.3059","title":"A family of incomplete Hurwitz-Lerch zeta functions of two variables","display_name":"A family of incomplete Hurwitz-Lerch zeta functions of two variables","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3045639733","doi":"https://doi.org/10.18514/mmn.2020.3059","mag":"3045639733"},"language":"en","primary_location":{"id":"doi:10.18514/mmn.2020.3059","doi":"https://doi.org/10.18514/mmn.2020.3059","is_oa":true,"landing_page_url":"https://doi.org/10.18514/mmn.2020.3059","pdf_url":"http://mat76.mat.uni-miskolc.hu/mnotes/download_article/3059.pdf","source":{"id":"https://openalex.org/S2489302003","display_name":"Miskolc mathematical notes/Mathematical notes","issn_l":"1586-8850","issn":["1586-8850","1787-2405","1787-2413"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-40","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Miskolc Mathematical Notes","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://mat76.mat.uni-miskolc.hu/mnotes/download_article/3059.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079512627","display_name":"H. M. Srivastava","orcid":"https://orcid.org/0000-0002-9277-8092","observed_orcids":["https://orcid.org/0000-0002-9277-8092"]},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]},{"id":"https://openalex.org/I45642913","display_name":"K\u0131r\u0131kkale University","ror":"https://ror.org/01zhwwf82","country_code":"TR","type":"education","lineage":["https://openalex.org/I45642913"]}],"countries":["CA","TR"],"is_corresponding":false,"raw_author_name":"H. M. Srivastava","raw_affiliation_strings":["Department of Mathematics and Statistics , University of Victoria , Victoria , British Columbia V8W 3R4 , Canada and","Department of Mathematics, Faculty of Arts and Sciences, K\u0131r\u0131kkale University, TR-71450 K\u0131r\u0131kkale, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , University of Victoria , Victoria , British Columbia V8W 3R4 , Canada and","institution_ids":["https://openalex.org/I212119943"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Arts and Sciences, K\u0131r\u0131kkale University, TR-71450 K\u0131r\u0131kkale, Turkey","institution_ids":["https://openalex.org/I45642913"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Recep Sahin","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I45642913","display_name":"K\u0131r\u0131kkale University","ror":"https://ror.org/01zhwwf82","country_code":"TR","type":"education","lineage":["https://openalex.org/I45642913"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Recep Sahin","raw_affiliation_strings":["Department of Mathematics, Faculty of Arts and Sciences, K\u0131r\u0131kkale University, TR-71450 K\u0131r\u0131kkale, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Arts and Sciences, K\u0131r\u0131kkale University, TR-71450 K\u0131r\u0131kkale, Turkey","institution_ids":["https://openalex.org/I45642913"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040278585","display_name":"O\u011fuz Ya\u011fc\u0131","orcid":"https://orcid.org/0000-0001-9902-8094","observed_orcids":["https://orcid.org/0000-0001-9902-8094"]},"institutions":[{"id":"https://openalex.org/I45642913","display_name":"K\u0131r\u0131kkale University","ror":"https://ror.org/01zhwwf82","country_code":"TR","type":"education","lineage":["https://openalex.org/I45642913"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Oguz Yagci","raw_affiliation_strings":["Department of Mathematics, Faculty of Arts and Sciences, K\u0131r\u0131kkale University, TR-71450 K\u0131r\u0131kkale, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Arts and Sciences, K\u0131r\u0131kkale University, TR-71450 K\u0131r\u0131kkale, Turkey","institution_ids":["https://openalex.org/I45642913"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.145,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.84521484,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"21","issue":"1","first_page":"401","last_page":"401"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.7275000214576721,"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"}},"topics":[{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.7275000214576721,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.20559999346733093,"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/T11166","display_name":"Analytic Number Theory Research","score":0.02449999935925007,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/summation-formulas","display_name":"summation formulas","score":0.9480000138282776},{"id":"https://openalex.org/keywords/derivative-formulas","display_name":"derivative formulas","score":0.8939999938011169},{"id":"https://openalex.org/keywords/recurrence-relations","display_name":"recurrence relations","score":0.7940000295639038},{"id":"https://openalex.org/keywords/special-functions","display_name":"special functions","score":0.7009999752044678}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8269027471542358},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40516117215156555}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.18514/mmn.2020.3059","doi":"https://doi.org/10.18514/mmn.2020.3059","is_oa":true,"landing_page_url":"https://doi.org/10.18514/mmn.2020.3059","pdf_url":"http://mat76.mat.uni-miskolc.hu/mnotes/download_article/3059.pdf","source":{"id":"https://openalex.org/S2489302003","display_name":"Miskolc mathematical notes/Mathematical notes","issn_l":"1586-8850","issn":["1586-8850","1787-2405","1787-2413"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-40","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Miskolc Mathematical Notes","raw_type":"journal-article"},{"id":"pmh:oai:real.mtak.hu:111751","doi":null,"is_oa":false,"landing_page_url":"http://real.mtak.hu/111751/1/3059.pdf","pdf_url":"http://real.mtak.hu/111751/1/3059.pdf","source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.18514/mmn.2020.3059","doi":"https://doi.org/10.18514/mmn.2020.3059","is_oa":true,"landing_page_url":"https://doi.org/10.18514/mmn.2020.3059","pdf_url":"http://mat76.mat.uni-miskolc.hu/mnotes/download_article/3059.pdf","source":{"id":"https://openalex.org/S2489302003","display_name":"Miskolc mathematical notes/Mathematical notes","issn_l":"1586-8850","issn":["1586-8850","1787-2405","1787-2413"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-40","russia-white-list-2"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Miskolc Mathematical Notes","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3045639733.pdf","grobid_xml":"https://content.openalex.org/works/W3045639733.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W600585464","https://openalex.org/W1485979810","https://openalex.org/W1497283712","https://openalex.org/W1499718604","https://openalex.org/W1533556785","https://openalex.org/W1966131895","https://openalex.org/W1967264940","https://openalex.org/W1971081516","https://openalex.org/W1980888776","https://openalex.org/W2046948756","https://openalex.org/W2051969655","https://openalex.org/W2064772561","https://openalex.org/W2087343401","https://openalex.org/W2111280161","https://openalex.org/W2145347246","https://openalex.org/W2154393822","https://openalex.org/W2228332305","https://openalex.org/W2597032537","https://openalex.org/W2790185164","https://openalex.org/W3046782287","https://openalex.org/W4236937695","https://openalex.org/W4242146639"],"related_works":["https://openalex.org/W2597032537","https://openalex.org/W3082024070","https://openalex.org/W2631627164","https://openalex.org/W2111280161","https://openalex.org/W2625428504","https://openalex.org/W1966131895","https://openalex.org/W3011644557","https://openalex.org/W3208171057","https://openalex.org/W7215180176","https://openalex.org/W4307990194"],"abstract_inverted_index":{"Inspired":[0],"essentially":[1],"by":[2],"the":[3,37,40,50,54,67],"work":[4],"H.":[5],"M.":[6,8],"Srivastava,":[7],"A.":[9],"Chaudhry":[10],"and":[11,19,24,63],"R.":[12],"P.":[13],"Agarwal":[14],"[The":[15],"incomplete":[16,41,68],"Pochhammer":[17],"symbols":[18],"their":[20],"applications":[21],"to":[22],"hypergeometric":[23],"related":[25],"functions,":[26],"Integral":[27],"Transforms":[28],"Spec.Funct.23":[29],"(2012),":[30],"659-683]":[31],"(see":[32],"[16])":[33],",":[34],"we":[35],"introduce":[36],"families":[38],"of":[39,45,72],"Hurwitz-Lerch":[42,69],"Zeta":[43,70],"functions":[44,71],"two":[46,73],"variables.We":[47],"then":[48],"give":[49],"integral":[51,57],"representations":[52],"including":[53],"Mellin-Barnes":[55],"contour":[56],"representation,":[58],"summation":[59],"formulas,":[60],"derivative":[61],"formulas":[62],"recurrence":[64],"relations":[65],"for":[66],"variables.":[74]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-11-13T13:42:25.865203","created_date":"2020-08-03T00:00:00"}