Abstract
In this paper, we establish explicit algebraic relations among infinite products 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.
| Original language | English |
|---|---|
| Pages (from-to) | 107-119 |
| Number of pages | 13 |
| Journal | Annales Mathematicae et Informaticae |
| Volume | 41 |
| Publication status | Published - 2013 |
Keywords
- Algebraic independence
- Fibonacci numbers
- Infinite products
- Mahler functions
ASJC Scopus subject areas
- Computer Science(all)
- Mathematics(all)