The Golden Shofar

By Alexey Stakhov, Boris Rozin. 2005

70 citations recorded by the source corpus.

Subfields: Mathematical Physics, Molecular Biology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/fd5c24d5405f750043fdacbcbe2caa86fb9b41c2

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Citations in the corpus

On the 3-dimensional k-Fibonacci spirals (2008, methodology): “Note that in the case k 1⁄4 1 we obtain the Golden Shofar [23] with equation y sxffiffi 5 p 2 þ z(2) 1⁄4 1 5s2x, where s is the Golden Ratio.”
On the Fibonacci k-numbers (2007, background): “In the present days there is a huge interest of modern science in the application of the Golden Section and Fibonacci numbers [1–19].”
On k-Fibonacci sequences and polynomials and their derivatives (2009, background): “There is a huge interest of modern science in the application of the Golden Section and Fibonacci numbers [1–10].”
On the m-extension of the Fibonacci and Lucas p-numbers (2009, background): “The hyperbolic Fibonacci and Lucas functions [14–18] and the continuous functions for the Fibonacci and Lucas p-numbers [19] are an important step in the development of contemporary Fibonacci numbers theory.”
On generalized Fibonacci and Lucas polynomials (2009, background): “Introduction In modern science there is a huge interest in the theory and application of the Golden Section and Fibonacci numbers [1–34].”
On the k-Lucas Numbers (2011, background): “There is a huge interest of modern science in the application of the Golden Section and Fibonacci numbers [9, 10, 11].”
The k-Fibonacci hyperbolic functions (2008, background): “Note that sFkh(x) is symmetric with respect to the origin, while the graphic of cFkh(x) presents a symmetry with respect to the axis x ¼� 1 2. By doing a change of variable 2x +1= t in function cFkh, the symmetry is for the new variable t with respect to the axis t =0 . For this reason, from now on,”