Results 151 to 160 of about 1,028,977 (179)

A bijective proof of generalized Cauchy–Binet, Laplace, Sylvester and Dodgson formulas

open access: closedLinear and Multilinear Algebra, 2020
In this paper, we give the generalization of Cauchy–Binet, Laplace, Sylvester and generalized Dodgson's condensation formulas for the case of rectangular determinants.
Mahmoud Bayat
openalex   +3 more sources

The generalized Pell (p,i)-numbers and their Binet formulas, combinatorial representations, sums

open access: closedChaos, Solitons & Fractals, 2007
The theory of generalized Pell p-numbers was introduced by Stakhov and then have been studied by several authors. In this paper. we consider the usual Pell numbers and as similar to the Fibonacci p-numbers, we give fair generalization of the Pell numbers, which we call the generalized Pell (p, i)-numbers for 0
Emrah Kılıç
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Quantum m*n-matrices and q-deformed Binet-Cauchy formula

open access: closedJournal of Physics A: Mathematical and General, 1991
Quantum multiplicative matrices of size m*n are introduced and studied. The q-generalization of the Binet-Cauchy formula is found.
Sergei Merkulov
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Integral representations and complete monotonicity of remainders of the Binet and Stirling formulas for the gamma function

open access: closedRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016
In the paper, the authors find integral representations, complete monotonicity, limits, and other properties of remainders of the Binet and Stirling formulas for the gamma function and their derivatives. These properties strengthen almost all results in three papers published in the Journal of Computational and Applied Mathematics, Applied Mathematics ...
Feng Qi, Bai‐Ni Guo
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The Binet Formula and Representations of k-Generalized Fibonacci Numbers

open access: closedThe Fibonacci quarterly, 2001
Gwang-Yeon Lee   +3 more
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TWO-PERIODIC TERNARY RECURRENCES AND THEIR BINET-FORMULA

open access: closed, 2012
The properties of k-periodic binary recurrences have been discussed by several authors. In this paper, we define the notion of the two-periodic ternary linear recurrence. First we follow Cooper's approach to obtain the corresponding recurrence relation of order six. Then we provide explicit formulae linked to the three possible cases.
Murat Alp   +2 more
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ON THE GENERALIZED BINET FORMULAS OF THE k-PADOVAN NUMBERS

open access: closedFar East Journal of Mathematical Sciences (FJMS), 2016
Gwangyeon Lee
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The Binet Formulas for the Pell and Pell-Lucas p-Numbers.

open access: closed, 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.
E. Gökçen Koçer, Naim Tuğlu
openalex   +2 more sources

Linear Recursion Relations Lesson Three-The Binet Formulas

open access: closedThe Fibonacci Quarterly, 1969
Brother Alfred Brousseau
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