{"id":"https://openalex.org/W2918664912","doi":"https://doi.org/10.3390/sym11030311","title":"Some Difference Equations for Srivastava\u2019s \u03bb-Generalized Hurwitz\u2013Lerch Zeta Functions with Applications","display_name":"Some Difference Equations for Srivastava\u2019s \u03bb-Generalized Hurwitz\u2013Lerch Zeta Functions with Applications","publication_year":2019,"publication_date":"2019-03-01","ids":{"openalex":"https://openalex.org/W2918664912","doi":"https://doi.org/10.3390/sym11030311","mag":"2918664912"},"language":"en","primary_location":{"id":"doi:10.3390/sym11030311","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11030311","pdf_url":"https://www.mdpi.com/2073-8994/11/3/311/pdf?version=1552465328","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","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/11/3/311/pdf?version=1552465328","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008596168","display_name":"Asifa Tassaddiq","orcid":"https://orcid.org/0000-0002-6165-8055"},"institutions":[{"id":"https://openalex.org/I195631090","display_name":"Majmaah University","ror":"https://ror.org/01mcrnj60","country_code":"SA","type":"education","lineage":["https://openalex.org/I195631090"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Asifa Tassaddiq","raw_affiliation_strings":["College of Computer and Information Sciences Majmaah University, Al Majmaah 11952, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"College of Computer and Information Sciences Majmaah University, Al Majmaah 11952, Saudi Arabia","institution_ids":["https://openalex.org/I195631090"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5008596168"],"corresponding_institution_ids":["https://openalex.org/I195631090"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.9194,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.84504961,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"11","issue":"3","first_page":"311","last_page":"311"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9991000294685364,"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":0.9962000250816345,"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/mathematics","display_name":"Mathematics","score":0.7698778510093689},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5054075717926025},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.49593982100486755},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4442523121833801},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3634496331214905},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3625657558441162},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0651395320892334}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7698778510093689},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5054075717926025},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.49593982100486755},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4442523121833801},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3634496331214905},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3625657558441162},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0651395320892334},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym11030311","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11030311","pdf_url":"https://www.mdpi.com/2073-8994/11/3/311/pdf?version=1552465328","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"},{"id":"pmh:oai:doaj.org/article:fe92a8f642c447deab53d450b675a3b2","is_oa":true,"landing_page_url":"https://doaj.org/article/fe92a8f642c447deab53d450b675a3b2","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 11, Iss 3, p 311 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym11030311","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11030311","pdf_url":"https://www.mdpi.com/2073-8994/11/3/311/pdf?version=1552465328","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2918664912.pdf","grobid_xml":"https://content.openalex.org/works/W2918664912.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W68100126","https://openalex.org/W177091085","https://openalex.org/W191636288","https://openalex.org/W600585464","https://openalex.org/W1485979810","https://openalex.org/W1497283712","https://openalex.org/W1578842116","https://openalex.org/W1966131895","https://openalex.org/W1972184489","https://openalex.org/W2024673953","https://openalex.org/W2034640342","https://openalex.org/W2046684035","https://openalex.org/W2046948756","https://openalex.org/W2051969655","https://openalex.org/W2056369358","https://openalex.org/W2064772561","https://openalex.org/W2066875849","https://openalex.org/W2072010833","https://openalex.org/W2084431283","https://openalex.org/W2106226212","https://openalex.org/W2111280161","https://openalex.org/W2129840940","https://openalex.org/W2138299553","https://openalex.org/W2145347246","https://openalex.org/W2154393822","https://openalex.org/W2156752574","https://openalex.org/W2162080790","https://openalex.org/W2221834529","https://openalex.org/W2344641977","https://openalex.org/W2597032537","https://openalex.org/W2605077104","https://openalex.org/W2888464340","https://openalex.org/W2904360770","https://openalex.org/W2912332379","https://openalex.org/W3046782287","https://openalex.org/W4285719527","https://openalex.org/W4292806204","https://openalex.org/W4302433644","https://openalex.org/W6675288728","https://openalex.org/W6688900984","https://openalex.org/W6704695951","https://openalex.org/W7047161228"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4231775656","https://openalex.org/W2046435967","https://openalex.org/W2062195135","https://openalex.org/W2383646825","https://openalex.org/W2371018915","https://openalex.org/W2354191502","https://openalex.org/W1972225038","https://openalex.org/W2809157142","https://openalex.org/W2037023988"],"abstract_inverted_index":{"In":[0],"this":[1,119,175],"article,":[2],"we":[3,97],"establish":[4],"some":[5,56,146],"new":[6,94,147],"difference":[7,18,95],"equations":[8,19,136],"for":[9,48,63,83,102,114,142],"the":[10,67,74,84,103,115,127,143,162],"family":[11],"of":[12,30,51,66,77,87,106,118,145,149,151,168],"\u03bb-generalized":[13,152],"Hurwitz\u2013Lerch":[14,153],"zeta":[15,154],"functions.":[16,32],"These":[17],"proved":[20,171],"worthwhile":[21],"to":[22,59,158,173],"study":[23],"these":[24,61,100],"newly":[25],"defined":[26],"functions":[27,37,62,101,155],"in":[28],"terms":[29],"simpler":[31],"Several":[33],"authors":[34],"investigated":[35],"such":[36],"and":[38,156],"their":[39,52,132],"analytic":[40],"properties,":[41],"but":[42],"no":[43],"work":[44],"has":[45],"been":[46],"reported":[47],"an":[49],"estimation":[50],"values.":[53],"We":[54],"perform":[55],"numerical":[57],"computations":[58],"evaluate":[60,99],"different":[64],"values":[65,86,105,117],"involved":[68,78],"parameters.":[69],"It":[70,109],"is":[71,80,110],"shown":[72],"that":[73,113],"direct":[75],"evaluation":[76],"integrals":[79,148],"not":[81],"possible":[82],"large":[85,104],"parameter":[88],"s":[89,107],";":[90],"nevertheless,":[91],"using":[92,131],"our":[93,121],"equations,":[96],"can":[98],".":[108],"worth":[111],"mentioning":[112],"small":[116],"parameter,":[120],"results":[122,130],"are":[123,139],"100%":[124],"accurate":[125],"with":[126,161],"directly":[128],"computed":[129],"integral":[133],"representation.":[134],"Difference":[135],"so":[137],"obtained":[138],"also":[140],"useful":[141],"computation":[144],"products":[150],"verified":[157],"be":[159],"consistent":[160],"existing":[163],"results.":[164],"A":[165],"derivative":[166],"property":[167],"Mellin":[169],"transforms":[170],"fundamental":[172],"present":[174],"investigation.":[176]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}