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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/166242026-10-18T20:36:30Zopenairedrivercom_ebyu_10000col_ebyu_10001

Catalan transform of the k-Pell, k-Pell-Lucas and modified k-Pell sequenceTastan, MerveOzkan, Engink-Pell numbersk-Pell-LucasCatalan numbersCatalan transformHankel transformMathematicsIn this study, we present the Catalan transforms of the k-Pell sequence, the k-Pell-Lucas sequence and the Modified k-Pell sequence and examine the properties of the sequences. Then we apply the Hankel transform to the Catalan transforms of the k-Pell sequence, the Catalan transform of the k-Pell-Lucas sequence and the Catalan transform of the Modified k-Pell sequence. Also, we obtain the generating functions of the Catalan transform of the k-Pell sequence, k-Pell-Lucas sequence and Modified k-Pell sequence. Furthermore, we acquire an interesting characteristic related to the determinant of the Hankel transform of the sequences.BULGARIAN ACAD SCIENCE2021Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/16624https://doi.org/10.7546/nntdm.2021.27.1.198-2071310-5132enNOTES ON NUMBER THEORY AND DISCRETE MATHEMATICSinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/16624