Amanbek, Yerlan; Du, Zhibin; Erlangga, Yogi; da Fonseca, Carlos M.; Kurmanbek, Bakytzhan; Pereira, António Explicit determinantal formula for a class of banded matrices. (English) Zbl 1478.15010 Open Math. 18, 1227-1229 (2020). Summary: In this short note, we provide a brief proof for a recent determinantal formula involving a particular family of banded matrices. Cited in 5 Documents MSC: 15A15 Determinants, permanents, traces, other special matrix functions 15B05 Toeplitz, Cauchy, and related matrices 33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) Keywords:determinant; pentadiagonal matrices; Chebyshev polynomials of second kind PDFBibTeX XMLCite \textit{Y. Amanbek} et al., Open Math. 18, 1227--1229 (2020; Zbl 1478.15010) Full Text: DOI References: [1] B. Kurmanbek, Y. Amanbek, and Y. Erlangga, A proof of An elić-Fonseca conjectures on the determinant of some Toeplitz matrices and their generalization, Linear Multilinear Algebra (2020), . · Zbl 1526.15029 · doi:10.1080/03081087.2020.1765959 [2] M. Anđelić and C. M. da Fonseca, Some determinantal considerations for pentadiagonal matrices, Linear Multilinear Algebra (2020), . · Zbl 1481.15002 · doi:10.1080/03081087.2019.1708845 [3] Z. Du, C. M. da Fonseca, and A. Pereira, On determinantal recurrence relations of banded matrices, submitted. · Zbl 1499.15023 [4] Z. Çınkır, An elementary algorithm for computing the determinant of pentadiagonal Toeplitz matrices, J. Comput. Appl. Math. 236 (2012), no. 9, 2298-2305, . · Zbl 1254.65059 · doi:10.1016/j.cam.2011.11.017 [5] E. Kılıc and M. El-Mikkawy, A computational algorithm for special nth-order pentadiagonal Toeplitz determinants, Appl. Math. Comput. 199 (2008), no. 2, 820-822, . · Zbl 1143.65036 · doi:10.1016/j.amc.2007.10.022 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.