2-orthogonal polynomials and linear “2–generalized” birth and death processes
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
We 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.
Açıklama
Anahtar Kelimeler
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Boukhemis, A. ve Zerouki, E. (2009). 2-orthogonal polynomials and linear “2–generalized” birth and death processes. Maltepe Üniversitesi. s. 102.
