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Publications Influence

The Golden Shofar

- A. Stakhov, B. Rozin
- Mathematics
- 1 November 2005

The goal of the present article is to develop the “continues” approach to the recurrent Fibonacci sequence. The main result of the article is new mathematical model of a curve-linear space based on a… Expand

55 6- PDF

On a new class of hyperbolic functions

- A. Stakhov, B. Rozin
- Mathematics
- 2005

This article presents the results of some new research on a new class of hyperbolic functions that unite the characteristics of the classical hyperbolic functions and the recurring Fibonacci and… Expand

83 5- PDF

The Golden Section , Fibonacci series , and new hyperbolic models of Nature А

- L. Stakhov, B. Rozin
- 2006

Приведен обзор новых математических моделей Природы, основанных на золотом сечении и использовании гиперболических функций Фибоначчи и Люка и функции «Золотой Шофар». Также рассматриваются обобщенные… Expand

8 5- PDF

Theory of Binet formulas for Fibonacci and Lucas p-numbers

- A. Stakhov, B. Rozin
- Mathematics
- 1 March 2006

Abstract Modern natural science requires the development of new mathematical apparatus. The generalized Fibonacci numbers or Fibonacci p-numbers (p = 0, 1, 2, 3, …), which appear in the “diagonal… Expand

96 2- PDF

The “golden” hyperbolic models of Universe

- A. Stakhov, B. Rozin
- Mathematics
- 1 October 2007

Abstract This article presents a review of new mathematical models of the hyperbolic space. These models are based on the golden section. In this article, the authors discuss the hyperbolic Fibonacci… Expand

20 1- PDF

The continuous functions for the Fibonacci and Lucas p-numbers

- A. Stakhov, B. Rozin
- Mathematics
- 1 May 2006

The new continuous functions for the Fibonacci and Lucas p-numbers using Binet formulas are introduced. The article is of a fundamental interest for Fibonacci numbers theory and theoretical physics.

39 1

The “golden” algebraic equations

- A. Stakhov, B. Rozin
- Mathematics
- 1 March 2006

Abstract The special case of the (p + 1)th degree algebraic equations of the kind xp+1 = xp + 1 (p = 1, 2, 3, …) is researched in the present article. For the case p = 1, the given equation is… Expand

30 1

Optimisation of the aggregation and execution rates for intersecting operation sets: an example of machining process design

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Optimisation of processing conditions for multi-product batch production lines with series-parallel operations under uncertainty on demands for finished products

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Optimization of the Structure and Execution Modes of Intersecting Operation Sets

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