Evaluation of the Hubbell radiation rectangular source integral using binomial coefficients

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dc.contributor.authorGuseinov, İsrafil İsa
dc.contributor.authorÖner, F.
dc.contributor.authorMamedov, B.A.
dc.date.accessioned2025-01-27T20:58:19Z
dc.date.available2025-01-27T20:58:19Z
dc.date.issued2004
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractUsing binomial coefficients a general series expansion formula is established for the integral I-q(a,b) = integral(0)(a) 1/(1 + b(2) + x(2))(q) dx with integer and noninteger values of g appearing in the evaluation of the radiation field generated by a plane isotropic rectangular source (plaque). With the help of this relation the Hubbell radiation rectangular source (HRS) integrals (J. Res. 64C(2) (1960) 121; Appl. Radiat. Isot. 39 (1988) 421) are calculated. The convergence of the series is tested by the concrete cases for values b and a. These formulae are especially useful for the calculation of HRS integrals for small values b and a. (C) 2003 Elsevier Ltd. All rights reserved.
dc.identifier.doi10.1016/S0969-806X(03)00463-8
dc.identifier.endpage112
dc.identifier.issn0969-806X
dc.identifier.issue2
dc.identifier.scopus2-s2.0-0347480437
dc.identifier.scopusqualityQ1
dc.identifier.startpage109
dc.identifier.urihttps://doi.org/10.1016/S0969-806X(03)00463-8
dc.identifier.urihttps://hdl.handle.net/20.500.12428/26675
dc.identifier.volume69
dc.identifier.wosWOS:000188733700002
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofRadiation Physics and Chemistry
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectrectangular source integral
dc.subjectradiation field
dc.subjectbinomial coefficients
dc.titleEvaluation of the Hubbell radiation rectangular source integral using binomial coefficients
dc.typeArticle

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