On the expansion of some functions in a two-dimensionalg-fraction with independent variables
โ Scribed by R. I. Dmytryshyn
- Publisher
- Springer US
- Year
- 2012
- Tongue
- English
- Weight
- 100 KB
- Volume
- 181
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## It is proved that the function Yรฐzร which can be expressed as a certain continued fraction, takes algebraically independent values at any distinct nonzero algebraic numbers inside the unit circle if the sequence fR k g kX0 is the generalized Fibonacci numbers.
## I. fntFoduction Let {X,,, n 2 1) be a sequence of independent random variables, P, and f, the distribution function and the characteristic fundion of the X,, respectively. Let us put SN = 2 X,, where N is a pasitive integer-valued random variable independent of X,, ?t 2 1. Furthermore, let { P,