Some algebraic relations on balancing numbers

Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/33612

Title:	Some algebraic relations on balancing numbers
Authors:	Gözeri, Gül Karadeniz Özkoç, Arzu Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. Tekcan, Ahmet AAH-8518-2021 55883777900
Keywords:	Mathematics Balancing number Pell number Pell-Lucas number Pythagorean triple Pell equation Oblong number Perfect square Congruent number Divisibility properties Circulant matrices Spectral norm
Issue Date:	Jun-2017
Publisher:	Util Math Publication
Citation:	Gözeri, G. K. vd. (2017). ''Some algebraic relations on balancing numbers''. Utilitas Mathematica, 103, 217-236.
Abstract:	In this work we deduce some new algebraic relations on balancing numbers and their relationships with Pell, Pell-Lucas and oblong numbers. Also we formulate the sums of balancing, Pell and Pell-Lucas numbers in terms of balancing numbers. We deduce some relations on perfect squares, Pythagorean triples, congruent numbers, circulant matrices and spectral norms involving balancing numbers. Later, we formulate the integer solutions of some specific Pell equations via terms of balancing numbers.
URI:	http://utilitasmathematica.com/index.php/Index/article/view/1212 http://hdl.handle.net/11452/33612
ISSN:	0315-3681
Appears in Collections:	Scopus Web of Science

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