The Generalized Principle of the Golden Section and its applications in mathematics, science, and engineering

By Alexey Stakhov. 2005

96 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/cc1d71d83be10c23b1e97d90de21bfa7401bac54

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Sergio Falcón
2. Ángel Plaza

In Mathematical Physics

1. Sergio Falcón
2. Ángel Plaza
3. Naim Tuglu
4. E. Gokcen Kocer
5. Alexey Stakhov

In Statistical and Nonlinear Physics

1. Sergio Falcón
2. Ángel Plaza
3. Naim Tuglu
4. E. Gokcen Kocer
5. Alexey Stakhov
6. Paula Maria Machado Cruz Catarino
7. José Luis Ramírez
8. Ayse Nalli

Citations in the corpus

• 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].”
• 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 the m-extension of the Fibonacci and Lucas p-numbers (2009, background): “Further development of these researches resulted in the appearance of the concept of the Harmony Mathematics [20,21].”