2-orthogonal polynomials and linear “2–generalized” birth and death processes

dc.contributor.authorBoukhemis, Ammar
dc.contributor.authorZerouki, Ebtissem
dc.date.accessioned2024-07-12T20:51:11Z
dc.date.available2024-07-12T20:51:11Z
dc.date.issued2009en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractWe show that the linear ”2-generalized” birth and death processes (i.e. the processes defined from two death rates and one birth rate) could be generated by the 2-orthogonal polynomials sets. In particular, we give a characterization of these processes when their related 2-orthogonal polynomials are Sheffer-Meixner type. Also, we show that in one particular case, it is possible to give an integral representation of the measures of orthogonality. In the general case, we give the integral equations satisfied by the measures of orthogonality.en_US
dc.identifier.citationBoukhemis, A. ve Zerouki, E. (2009). 2-orthogonal polynomials and linear “2–generalized” birth and death processes. Maltepe Üniversitesi. s. 102.en_US
dc.identifier.endpage103en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage102en_US
dc.identifier.urihttps://www.maltepe.edu.tr/Content/Media/CkEditor/03012019014112056-AbstractBookICMS2009Istanbul.pdf#page=76
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2372
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07737
dc.title2-orthogonal polynomials and linear “2–generalized” birth and death processesen_US
dc.typeConference Object
dspace.entity.typePublication

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