Results 11 to 20 of about 128 (117)
Multiparameter Quantum Cauchy-Binet Formulas [PDF]
Algebras and Representation Theory, 2020 The quantum Cayley-Hamilton theorem for the generator of the reflection equation algebra has been proven by Pyatov and Saponov, with explicit formulas for the coefficients in the Cayley-Hamilton formula. However, these formulas do not give an \emph{easy} way to compute these coefficients.
Karlin, Samuel, Rinott, Yosef
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Algorithm for Constructing an Analogue of the Binet Formula [PDF]
Programming and Computer Software, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuzovatov, V. I. +2 more
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The generalized Binet formula for $k$-bonacci numbers
Elemente der Mathematik, 2023 Using Vandermonde determinants, we give a simple proof of the generalization of the Binet formula to the k -bonacci numbers.
Parks, Harold R., Wills, Dean C.
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Dirichlet Convolution and the Binet Formula
, 2023 Summary: The main aim of this note is to show that the set of closed triples of generalized Fibonacci arithmetic functions under the Dirichlet convolution is a singleton set. This unique Dirichlet convolution identity is the Binet Fibonacci number formula in terms of arithmetic functions and the Dirichlet convolution.
Schwab, Emil Daniel, Schwab, Gabriela
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Extending generalized Fibonacci sequences and their binet-type formula [PDF]
Advances in Difference Equations, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saeki Osamu, Rachidi Mustapha
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An Elementary Proof of the Generalization of the Binet Formula for $k$-bonacci Numbers
CoRR, 2022 We present an elementary proof of the generalization of the $k$-bonacci Binet formula, a closed form calculation of the $k$-bonacci numbers using the roots of the characteristic polynomial of the $k$-bonacci recursion.
Harold R. Parks, Dean C. Wills
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Bivariate Leonardo polynomials and Riordan arrays [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, bivariate Leonardo polynomials are defined, which are closely related to bivariate Fibonacci polynomials. Bivariate Leonardo polynomials are generalizations of the Leonardo polynomials and Leonardo numbers.
Yasemin Alp, E. Gökçen Koçer
doaj +1 more source
Theory of Binet formulas for Fibonacci and Lucas p-numbers
Chaos, Solitons & Fractals, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stakhov, Alexey, Rozin, Boris
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On the Bicomplex $k$-Fibonacci Quaternions
Communications in Advanced Mathematical Sciences, 2019 In this paper, bicomplex $k$-Fibonacci quaternions are defined. Also, some algebraic properties of bicomplex $k$-Fibonacci quaternions are investigated.
Fügen Torunbalcı Aydın
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The Generalization of Gaussians and Leonardo’s Octonions
Annales Mathematicae Silesianae, 2023 In order to explore the Leonardo sequence, the process of complex-ification of this sequence is carried out in this work. With this, the Gaussian and octonion numbers of the Leonardo sequence are presented.
Vieira Renata Passos Machado +3 more
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