In this paper, we present new kind analogues of the Filbert and Lilbert matrices via products of two k-tuples asymmetric entries consist of the Fibonacci and Lucas numbers. We shall… Click to show full abstract
In this paper, we present new kind analogues of the Filbert and Lilbert matrices via products of two k-tuples asymmetric entries consist of the Fibonacci and Lucas numbers. We shall derive explicit formulas for their LU-decomposition and inverses. To prove the claimed results, we write all identities to be proven in q-world and then use the celebrated Zeilberger algoritm to prove required q-identities.
Keywords:
via products;
lilbert matrices;
filbert lilbert;
analogues filbert;
products two;
matrices via
Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2019
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Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2019
Link to full text (if available)
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recommendations!