Wikipedia talk:Articles for deletion/Hyperbolic Fibonacci and Lucas functions

Surprisingly, that the opponents of this article ignore a number of indisputable facts, which are evidence of recognition of the hyperbolic Fibonacci and Lucas functions:

1. The most authoritative journal in this field «The Fibonacci Quarterly" published in 1996 the article of Polish mathematician Trzaska, ZW On Fibonacci Hyperbolic Trigonometry and Modified Numerical Triangles. Fibonacci Quarterly. 34, 129-138, 1996. This fact is recognition of the hyperbolic Fibonacci and Lucas functions by American Fibonacci Association. It is difficult to assume that the editorial board of «The Fibonacci Quarterly" did not know Binet formulas and Lucas article (1878), which was published by the Fibonacci Association in 1969

2. In 1996, Prof. Alexey Stakhov made a speech «The Golden Section and Modern Harmony Mathematics» at the 7th International Conference "Fibonacci Numbers and Their Applications" (Austria, Graz, July 15-19, 1996). In this speech Stakhov outlined the foundations of the hyperbolic Fibonacci and Lucas functions. Stakhov's speech attracted attention of Fibonacci-mathematicians and was selected for the publication in the book «Applications of Fibonacci Numbers" (see Stakhov AP. The Golden Section and Modern Harmony Mathematics. Applications of Fibonacci Numbers, Volume 7, 1998, pp. 393 - 399). I would like to remind that the editors of the book Applications of Fibonacci Numbers, Volume 7, 1998 are the most famous Fibonacci-mathematicians GE Bergum, AN Philippou, AF Horadam. This is the additional evidence of the importance of the article “Hyperbolic Fibonacci and Lucas Functions”

3. From the moment of Binet and Lucas works (19 c.) Fibonacci-mathematicians did not notice Binet formulas and not interpret them as a new class of hyperbolic functions. This was done in 1993 by the Ukrainian mathematician Stakhov and Tkachenko (Stakhov AP Tkachenko IS. Fibonacci hyperbolic trigonometry. Proceedings of the Ukrainian Academy of Sciences, Vol. 208, № 7, 1993., Pp. 9-14). Since then, a new class of hyperbolic functions attracted for attention of mathematicians and is actively developing in modern science and mathematics.

In my opinion, the article “Hyperbolic Fibonacci and Lucas Functions” should be kept in Wikipedia.