نتایج جستجو برای: Continued Fraction Expansion

تعداد نتایج: 364644  

Journal: :Journal of Mathematical Analysis and Applications 2008

Journal: :Bulletin of the American Mathematical Society 1939

Journal: :Transactions of the Society of Instrument and Control Engineers 1979

Journal: :Tamkang Journal of Mathematics 2010

Journal: :New Trends in Mathematical Science 2016

Journal: :Finite Fields and Their Applications 2008
Bing Li Jun Wu

Let x ∈ I be an irrational element and n 1, where I is the unit disc in the field of formal Laurent series F((X−1)), we denote by kn(x) the number of exact partial quotients in continued fraction expansion of x, given by the first n digits in the β-expansion of x, both expansions are based on F((X−1)). We obtain that lim inf n→+∞ kn(x) n = degβ 2Q∗(x) , lim sup n→+∞ kn(x) n = degβ 2Q∗(x) , wher...

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