Kurosawa, Takeshi, Tachiya, Yohei, Tanaka, Taka-aki (2013) Algebraic relations with the infinite products generated by Fibonacci numbers Annales Mathematicae et Informaticae. 41 pp. 107-119. ISSN 1787-5021 (Print), 1787-6117 (Online)
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Absztrakt (kivonat)
In this paper, we establish explicit algebraic relations among infinite prod- ucts including Fibonacci and Lucas numbers with subscripts in geometric progressions. The algebraic relations given in this paper are obtained by using general criteria for the algebraic dependency of such infinite products. Keywords: Algebraic independence, Infinite products, Fibonacci numbers, Mahler functions.
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| Megjegyzés: | Proceedings of the 15th International Conference on Fibonacci Numbers and Their Applications Institute of Mathematics and Informatics Eszterházy Károly College, Eger, Hungary (June 25–30, 2012) | ||||||||||||||||
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| Nyelv: | angol | ||||||||||||||||
| Kötetszám: | 41 | ||||||||||||||||
| ISSN: | 1787-5021 (Print), 1787-6117 (Online) | ||||||||||||||||
| Felhasználó: | Tibor Gál | ||||||||||||||||
| Dátum: | 24 Feb 2019 09:40 | ||||||||||||||||
| Utolsó módosítás: | 24 Feb 2019 09:40 | ||||||||||||||||
| URI: | http://publikacio.uni-eszterhazy.hu/id/eprint/2724 |
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