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https://hdl.handle.net/20.500.11851/3559| Title: | New Analogues of the Filbert and Lilbert Matrices Via Products of Two K-Tuples Asymmetric Entries | Authors: | Kılıç, Emrah Ömür, Neşe Koparal, Sibel |
Keywords: | Generalized Filbert matrix q-analogues LU-decomposition Zeilberger’s algorithm computer algebra system (CAS) |
Publisher: | Hacettepe University | Source: | KILIÇ, E., Neşe, Ö. M. Ü. R., and Koparal, S. New analogues of the Filbert and Lilbert matrices via products of two k-tuples asymmetric entries. Hacettepe Journal of Mathematics and Statistics, 49(2), 684-694. | Abstract: | In this paper, we present new 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 formulæ for their LU-decompositions and inverses. To prove the claimed results, we write all the identities to be proven in q-word and then use the celebrated Zeilberger algorithm to prove required q-identities. © 2020, Hacettepe University. All rights reserved. | URI: | https://search.trdizin.gov.tr/yayin/detay/489649 https://hdl.handle.net/20.500.11851/3559 https://dergipark.org.tr/tr/pub/hujms/issue/53568/473495 |
ISSN: | 2651-477X |
| Appears in Collections: | Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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