Several closed and determinantal forms for convolved Fibonacci numbers
DOI10.47443/dml.2021.0039OpenAlexW4212787547MaRDI QIDQ5051439
Publication date: 23 November 2022
Published in: Discrete Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.47443/dml.2021.0039
Faà di Bruno formulaFibonacci numberdeterminantal formBell polynomial of the second kindclosed formHessenberg determinanttridiagonal determinantconvolved Fibonacci number
Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20) Calculation of integer sequences (11Y55)
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Cites Work
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- Several closed expressions for the Euler numbers
- Some properties of convolved \(k\)-Fibonacci numbers
- On convolved generalized Fibonacci and Lucas polynomials
- On Hessenberg and pentadiagonal determinants related with Fibonacci and Fibonacci-like numbers
- Determinantal and permanental representations of convolved Lucas polynomials
- Two closed forms for the Bernoulli polynomials
- Inverse spectral problems for collections of leading principal submatrices of tridiagonal matrices
- Closed forms for derangement numbers in terms of the Hessenberg determinants
- Special values of the Bell polynomials of the second kind for some sequences and functions
- Some determinantal expressions and recurrence relations of the Bernoulli polynomials
- Some properties of central Delannoy numbers
- Similarity reduction of a general matrix to Hessenberg form
- A determinantal expression and a recursive relation of the Delannoy numbers
- Convolved Fibonacci Numbers and their applications
- Determinantal Formulas and Recurrent Relations for Bi-Periodic Fibonacci and Lucas Polynomials
- Closed Forms: What They Are and Why We Care
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