New orthogonality relationships of the Gaunt coefficients

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dc.authoridAkdemir, Selda/0000-0002-5487-8703
dc.contributor.authorOzay, S.
dc.contributor.authorAkdemir, S.
dc.contributor.authorOztekin, E.
dc.date.accessioned2025-03-23T19:41:49Z
dc.date.available2025-03-23T19:41:49Z
dc.date.issued2024
dc.departmentSinop Üniversitesi
dc.description.abstractA new analytical formula for the Gaunt coefficients is derived using expressions of Clebsch Gordan coefficients in terms of the generalized hypergeometric functions of unit argument and binomial coefficients. In addition, new sum expressions and orthogonality relations containing the Gaunt coefficients are written. These expressions are used to test the accuracy of the numerical calculation for the Gaunt coefficients. These formulae are coded in the Mathematica programming language, and the Gaunt coefficients are calculated numerically and compared with the values from the literature.
dc.identifier.doi10.1016/j.cpc.2024.109118
dc.identifier.issn0010-4655
dc.identifier.issn1879-2944
dc.identifier.scopus2-s2.0-85184520255
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.cpc.2024.109118
dc.identifier.urihttps://hdl.handle.net/11486/6652
dc.identifier.volume298
dc.identifier.wosWOS:001186719100001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofComputer Physics Communications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectGaunt coefficients
dc.subjectGeneralized hypergeometric functions
dc.subjectClebsch Gordan coefficients
dc.titleNew orthogonality relationships of the Gaunt coefficients
dc.typeArticle

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