A Note on Modified $k$-Pell Hybrid Numbers

Authors : Paula Maria Machado Cruz CATARİNO, Göksal BİLGİCİ

Pages : 229-233

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Publication Date : 2020-10-27

Article Type : Research Paper

Abstract :Modified $k$-Pell hybrid sequence is defined in this paper. The Binet formula and the generating functions for modified k-Pell hybrid numbers are also presented. By using the Binet formula, some properties involving this sequence, including Catalan`s, Cassini`s and d`Ocagne`s identities, are obtained.                                                                                                                                                                                                                                                                                                                                                                                          
Keywords : Modified k Pell numbers, Hybrid numbers, Recurrence relations, Generating functions, Binet`s formula