Results 91 to 100 of about 121 (112)
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A New Generalization of Fibonacci Sequence & Extended Binet's Formula
Integers, 2009AbstractConsider the Fibonacci ...
Edson, Marcia, Yayenie, Omer
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Mathematics Magazine, 2004
Proof. The classical way to solve a linear equation system is by performing row operations: (i) add one row to another row, (ii) multiply a row with a nonzero scalar and (iii) exchange two rows. We show that the quotient in equation (1) will not change under row operations.
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Proof. The classical way to solve a linear equation system is by performing row operations: (i) add one row to another row, (ii) multiply a row with a nonzero scalar and (iii) exchange two rows. We show that the quotient in equation (1) will not change under row operations.
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Generalization of Binet's Gamma function formulas
Integral Transforms and Special Functions, 2013Several representations for the logarithm of the Gamma function exist in the literature. There are four important expansions which bear the name of Binet. Hermite generalized Binet's first formula to the logarithm of the Gamma function with shifted argument.
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Binet's formula for generalized tribonacci numbers
International Journal of Mathematical Education in Science and Technology, 2015In this note, we derive Binet's formula for the general term Tn of the generalized tribonacci sequence. This formula gives Tn explicitly as a function of the index n, the roots of the associated characteristic equation, and the initial terms T0, T1, and T2.
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An Elementary Proof of Binet's Formula for the Gamma Function
The American Mathematical Monthly, 1999(1999). An Elementary Proof of Binet's Formula for the Gamma Function. The American Mathematical Monthly: Vol. 106, No. 2, pp. 156-158.
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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng Qi, Bai-Ni Guo
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng Qi, Bai-Ni Guo
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The Binet Formulas for the Pell and Pell-Lucas p-Numbers.
Ars Comb., 2007In 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
2012The 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, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quantum m*n-matrices and q-deformed Binet-Cauchy formula
Journal of Physics A: Mathematical and General, 1991Summary: 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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