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dc.contributor.authorAli, Shahbazen_US
dc.contributor.authorMahmood, Muhammad Khaliden_US
dc.contributor.authorHameed, Muhammad Shaziben_US
dc.date.accessioned2023-04-03T12:30:45Z
dc.date.available2023-04-03T12:30:45Z
dc.date.issued2023-04
dc.identifier.citationAli, S., Mahmood, M. K. & Hameed, M. S. (2023). Some new generalized modular relations. TWMS Journal Of Applied And Engineering Mathematics, 13(2), 425-439.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5471
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/119-vol13no2/978
dc.description.abstractIn view of the Rogers-Ramanujan theta function, several researchers have emphasized the subject of integer partitions and their generating functions for years. The work has not dealt with in an inclusive and closed-form by now. Thus, these generating functions are extremely desirable to be developed in a generalized way. In this paper, a novel methodology is proposed to build many new modular relations. By incorporating these new relations, generalized forms of regular partitions in the spirit of Rogers-Ramanujan and G¨ollnitz-Gordon functions with four, six, and nine dissections are established. As an application of these generalized generating functions, an infinite family of new congruences modulo 2 has also been developed.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectModular relationen_US
dc.subjectRogers-Ramanujan functionsen_US
dc.subjectGöllnitz-Gordon functionsen_US
dc.subjectEven-odd methoden_US
dc.titleSome new generalized modular relationsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume13
dc.identifier.issue2
dc.identifier.startpage425
dc.identifier.endpage439
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.indekslendigikaynakScopusen_US


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