Alternative proofs of some formulas for two tridiagonal determinants

DOI10.2478/ausm-2018-0022OpenAlexW2943984526WikidataQ113704384 ScholiaQ113704384MaRDI QIDQ1737404

Ai-Qi Liu, Feng Qi

Publication date: 27 March 2019

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/ausm-2018-0022

zbMATH Keywords

inversetridiagonal matrixalternative prooftridiagonal determinant

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Special sequences and polynomials (11B83) Matrices of integers (15B36) Polynomials, rational functions in real analysis (26C99) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Matrices, determinants in number theory (11C20) Calculation of integer sequences (11Y55)

Related Items (6)

Retraction note to: ``A determinantal expression for the Fibonacci polynomials in terms of a tridiagonal determinant ⋮ The inverse of a triangular matrix and several identities of the Catalan numbers ⋮ Special values of the Bell polynomials of the second kind for some sequences and functions ⋮ Computation of several Hessenberg determinants ⋮ On the connection between tridiagonal matrices, Chebyshev polynomials, and Fibonacci numbers ⋮ Explicit Expressions Related to Degenerate Cauchy Numbers and Their Generating Function

Cites Work

• The reciprocal of the weighted geometric mean is a Stieltjes function
• Some properties of the Schröder numbers
• Some properties of central Delannoy numbers
• Analytical inversion of symmetric tridiagonal matrices
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