Unified treatment for accurate and fast evaluation of the Fermi-Dirac functions

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dc.contributor.authorGuseinov, Israfil Isa
dc.contributor.authorMamedov, B. A.
dc.date.accessioned2025-01-27T20:29:25Z
dc.date.available2025-01-27T20:29:25Z
dc.date.issued2010
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractA new analytical approach to the computation of the Fermi-Dirac (FD) functions is presented, which was suggested by previous experience with various algorithms. Using the binomial expansion theorem, these functions are expressed through the binomial coefficients and familiar incomplete Gamma functions. This simplification and the use of the memory of the computer for the calculation of binomial coefficients may extend the limits to large arguments for users and result in speedier calculation, should such limits be required in practice. Some numerical results are presented for significant mapping examples and they are briefly discussed.
dc.identifier.doi10.1088/1674-1056/19/5/050501
dc.identifier.issn1674-1056
dc.identifier.issn1741-4199
dc.identifier.issue5
dc.identifier.scopus2-s2.0-77952874337
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1088/1674-1056/19/5/050501
dc.identifier.urihttps://hdl.handle.net/20.500.12428/22936
dc.identifier.volume19
dc.identifier.wosWOS:000277372200012
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherIop Publishing Ltd
dc.relation.ispartofChinese Physics B
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectstatistical
dc.subjectsemiconductors
dc.subjectplasma physics
dc.subjectnuclear physics
dc.titleUnified treatment for accurate and fast evaluation of the Fermi-Dirac functions
dc.typeArticle

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