Binomial Transforms of k-Narayana Sequences and Some Properties
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Fuat USTA
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The aim of the study is to obtain new binomial transforms for the $k-$ Narayana sequence. The first of these is the binomial transform, which is its normal form, and in the first step, after finding the recurrence relation of this new binomial transform, the generating function and Binet formula were obtained. Finally, Pascal's triangle was calculated. In the rest of the article, $k-$binomial transform was performed for the $k-$ Narayana sequence and the recurrence relation, generating function, Binet formula and Pascal's triangle were examined for the new sequence obtained. Then, by performing the falling binomial transform and the rising binomial transform, the features listed above were found again for these sequences.
Açıklama
Anahtar Kelimeler
Narayana Sequences|Binomial transform|Recurrence relations|Binet formulas
Kaynak
Fundamental Journal of Mathematics and Applications
WoS Q Değeri
Scopus Q Değeri
Cilt
7
Sayı
3
