Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/58934
Title: A note on generalized k-order F&l hybrinomials
Authors: Aydinyuz, Suleyman
Gozeri, Gul Karadeniz
Keywords: Fibonacci Polynomials
Generalized <Italic>K</Italic>-Order Fibonacci And Lucas Polynomials
Hybrid Numbers
Hybrid Polynomials
Generalized <Italic>K</Italic>-Order Fibonacci And Lucas Hybrinomials
Publisher: Mdpi
Abstract: In this study, we introduce generalized k-order Fibonacci and Lucas (F&L) polynomials that allow the derivation of well-known polynomial and integer sequences such as the sequences of k-order Pell polynomials, k-order Jacobsthal polynomials and k-order Jacobsthal F&L numbers. Within the scope of this research, a generalization of hybrid polynomials is given by moving them to the k-order. Hybrid polynomials defined by this generalization are called k-order F&L hybrinomials. A key aspect of our research is the establishment of the recurrence relations for generalized k-order F&L hybrinomials. After we give the recurrence relations for these hybrinomials, we obtain the generating functions of hybrinomials, shedding light on some of their important properties. Finally, we introduce the matrix representations of the generalized k-order F&L hybrinomials and give some properties of the matrix representations.
URI: https://doi.org/10.3390/axioms14010041
https://hdl.handle.net/11499/58934
ISSN: 2075-1680
Appears in Collections:Fen Fakültesi Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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