Results 141 to 150 of about 991 (168)

Integral representations and complete monotonicity of remainders of the Binet and Stirling formulas for the gamma function

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016
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Feng Qi, Bai-Ni Guo
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The Binet Formulas for the Pell and Pell-Lucas p-Numbers.

Ars Comb., 2007
In this paper, we define the Pell and Pell-Lucas p-numbers and derive the analytical formulas for these numbers. These formulas are similar to Bin et's formula for the classical Pell numbers.
Kocer, E. Gokcen, Tuglu, Naim
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Two-periodic ternary recurrences and their Binet-formula

2012
The two-periodic ternary recurrence sequence is defined by relations \(\gamma _n=a\gamma _{n-1}+b\gamma _{n-2}+c\gamma _{n-3}\) if \(n\) is even and \(\gamma _n=d\gamma _{n-1}+e\gamma _{n-2}+f\gamma _{n-3}\) if \(n\) is odd. In this paper, Cooper's approach [\textit{C. Cooper}, Congr.
Alp , M, Irmak , N, Szalay, László
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Binet type formula for Tribonacci sequence with arbitrary initial numbers

Chaos, Solitons & Fractals, 2018
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Quantum m*n-matrices and q-deformed Binet-Cauchy formula

Journal of Physics A: Mathematical and General, 1991
Summary: Quantum multiplicative matrices of size \(m\times n\) are introduced and studied. The \(q\)-generalization of the Binet-Cauchy formula is found.
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A Bijective Proof of Generalized Cauchy–Binet, Laplace, Sylvester and Dodgson Formulas

Linear and Multilinear Algebra, 2022
Mahmoud Bayat
exaly  

Binet’s Formula Generalized

The Fibonacci Quarterly, 1977
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New Proofs of Binet’s Formulas Using The Lucas Q-Matrix

Panamerican Mathematical Journal
The Fibonacci and Lucas sequences play a fundamental role in Number Theory and have deep connections with Linear Algebra and Matrix Theory. This paper explores an alternative approach to proving Binet’s formulas for these sequences using the Lucas -matrix, denoted by .
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THE GRADED GENERALIZED FIBONACCI SEQUENCE AND BINET FORMULA

Far East Journal of Mathematical Sciences (FJMS), 2017
Won Sang Chung, Minji Han, Jae Yoon Kim
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Multiparameter Quantum Cauchy-Binet Formulas

Algebras and Representation Theory, 2021
Matthias Floré
exaly