Gaussian modified pell sequence and gaussian modified pell polynomial sequence
Yükleniyor...
Dosyalar
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Aksaray Üniversitesi
Erişim Hakkı
Attribution-NonCommercial-NoDerivs 3.0 United States
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
In this paper, we first define the Gaussian modified Pell sequence, for n ? 2, by the relation = 2 + with initial conditions = 1 ? i and = 1 + i. Then we give the definition of the Gaussian modified Pell polynomial sequence, for n ? 2, by the relation = 2 + with initial conditions = 1? xi and = x + i. We give Binet’s formulas, generating functions and summation formulas of these sequences. We also obtain some well-known identities such as Catalan’s identities, Cassini’s identities and d’Ocagne’s identities involving the Gaussian modified Pell sequence and Gaussian modified Pell polynomial sequence.
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Açıklama
Anahtar Kelimeler
Modified Pell sequence, Modified Pell polynomial sequence, Gaussian modified Pell sequence, Gaussian modified Pell polynomial sequence
Kaynak
Aksaray University Journal of Science and Engineering
WoS Q Değeri
Scopus Q Değeri
Cilt
2
Sayı
1
