TY  - JOUR
TI  - New analogues of the Filbert and Lilbert matrices via products of two $k$-tuples asymmetric entries
AB  - 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.
AU  - ömür, neşe
AU  - koparal, sibel
AU  - Kılıç, Emrah
DO  - 10.15672/hujms.473495
PY  - 2020
JO  - Hacettepe Journal of Mathematics and Statistics
VL  - 49
IS  - 2
SN  - 1303-5010
SP  - 684
EP  - 694
DB  - TRDizin
UR  - http://search/yayin/detay/489649
ER  -