Results 91 to 100 of about 128 (117)
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The k-Periodic Fibonacci Sequence and an Extended Binet's Formula
Integers, 2011AbstractIt is well known that a continued fraction is periodic if and only if it is the representation of a quadratic ...
Marcia Edson, Scott Lewis, Omer Yayenie
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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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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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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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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
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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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