A unified treatment of the lattice Green function, generalized Watson integral and associated logarithmic integral for the d-dimensional hypercubic lattice

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dc.contributor.authorGuseinov, Israfil Isa
dc.contributor.authorMamedov, B. A.
dc.date.accessioned2025-01-27T20:58:06Z
dc.date.available2025-01-27T20:58:06Z
dc.date.issued2007
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractUsing multinomial expansion theorems, a unified approximation for the lattice Green function, generalized Watson integral and associated logarithmic integral for the d-dimensional hypercubic lattice is presented. The validity of this approximation is tested by other calculation methods. The approximate formulas derived are satisfactory to all other approximations and are a most suitable solution for the study of related physical properties of solids. Some examples of the effectiveness of this methodology are presented.
dc.identifier.doi10.1080/14786430601023799
dc.identifier.endpage1112
dc.identifier.issn1478-6435
dc.identifier.issn1478-6443
dc.identifier.issue7
dc.identifier.scopus2-s2.0-33847133905
dc.identifier.scopusqualityQ3
dc.identifier.startpage1107
dc.identifier.urihttps://doi.org/10.1080/14786430601023799
dc.identifier.urihttps://hdl.handle.net/20.500.12428/26608
dc.identifier.volume87
dc.identifier.wosWOS:000244687300010
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofPhilosophical Magazine
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectSimple Cubic Lattice
dc.subjectExact Product Forms
dc.subjectSingular Behavior
dc.titleA unified treatment of the lattice Green function, generalized Watson integral and associated logarithmic integral for the d-dimensional hypercubic lattice
dc.typeArticle

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