#### New analogues of the Filbert and Lilbert matrices via products of two $k$-tuples asymmetric entries

Yıl: 2020 Cilt: 49 Sayı: 2 Sayfa Aralığı: 684 - 694 Metin Dili: İngilizce

New analogues of the Filbert and Lilbert matrices via products of two $k$-tuples asymmetric entries

Öz:
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 formulae 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.
Anahtar Kelime: Zeilberger’s algorithm Generalized Filbert matrix LU-decomposition Computer algebra system (CAS) q-analogues

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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 APA KILIÇ E, ÖMÜR N, KOPARAL S (2020). New analogues of the Filbert and Lilbert matrices via products of two $k$-tuples asymmetric entries. , 684 - 694. 10.15672/hujms.473495 Chicago KILIÇ Emrah,ÖMÜR Neşe,KOPARAL Sibel New analogues of the Filbert and Lilbert matrices via products of two $k$-tuples asymmetric entries. (2020): 684 - 694. 10.15672/hujms.473495 MLA KILIÇ Emrah,ÖMÜR Neşe,KOPARAL Sibel New analogues of the Filbert and Lilbert matrices via products of two $k$-tuples asymmetric entries. , 2020, ss.684 - 694. 10.15672/hujms.473495 AMA KILIÇ E,ÖMÜR N,KOPARAL S New analogues of the Filbert and Lilbert matrices via products of two $k$-tuples asymmetric entries. . 2020; 684 - 694. 10.15672/hujms.473495 Vancouver KILIÇ E,ÖMÜR N,KOPARAL S New analogues of the Filbert and Lilbert matrices via products of two $k$-tuples asymmetric entries. . 2020; 684 - 694. 10.15672/hujms.473495 IEEE KILIÇ E,ÖMÜR N,KOPARAL S "New analogues of the Filbert and Lilbert matrices via products of two $k$-tuples asymmetric entries." , ss.684 - 694, 2020. 10.15672/hujms.473495 ISNAD KILIÇ, Emrah vd. "New analogues of the Filbert and Lilbert matrices via products of two $k$-tuples asymmetric entries". (2020), 684-694. https://doi.org/10.15672/hujms.473495
 APA KILIÇ E, ÖMÜR N, KOPARAL S (2020). 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. 10.15672/hujms.473495 Chicago KILIÇ Emrah,ÖMÜR Neşe,KOPARAL Sibel New analogues of the Filbert and Lilbert matrices via products of two $k$-tuples asymmetric entries. Hacettepe Journal of Mathematics and Statistics 49, no.2 (2020): 684 - 694. 10.15672/hujms.473495 MLA KILIÇ Emrah,ÖMÜR Neşe,KOPARAL Sibel New analogues of the Filbert and Lilbert matrices via products of two $k$-tuples asymmetric entries. Hacettepe Journal of Mathematics and Statistics, vol.49, no.2, 2020, ss.684 - 694. 10.15672/hujms.473495 AMA KILIÇ E,ÖMÜR N,KOPARAL S New analogues of the Filbert and Lilbert matrices via products of two $k$-tuples asymmetric entries. Hacettepe Journal of Mathematics and Statistics. 2020; 49(2): 684 - 694. 10.15672/hujms.473495 Vancouver KILIÇ E,ÖMÜR N,KOPARAL S New analogues of the Filbert and Lilbert matrices via products of two $k$-tuples asymmetric entries. Hacettepe Journal of Mathematics and Statistics. 2020; 49(2): 684 - 694. 10.15672/hujms.473495 IEEE KILIÇ E,ÖMÜR N,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, ss.684 - 694, 2020. 10.15672/hujms.473495 ISNAD KILIÇ, Emrah vd. "New analogues of the Filbert and Lilbert matrices via products of two $k$-tuples asymmetric entries". Hacettepe Journal of Mathematics and Statistics 49/2 (2020), 684-694. https://doi.org/10.15672/hujms.473495