On generalization of continued fraction of Gauss.
Denis, Remy Y. (1990)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “A continued fraction of order twelve”
On generalization of continued fraction of Gauss.
Ramanujan's cubic continued fraction revisited
Heng Huat Chan, Kok Ping Loo (2007)
Acta Arithmetica
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A Wirsing-type approach to some continued fraction expansion.
Sebe, Gabriela Ileana (2005)
International Journal of Mathematics and Mathematical Sciences
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New properties for the Ramanujan-Göllnitz-Gordon continued fraction
Boonrod Yuttanan (2012)
Acta Arithmetica
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On Hurwitzian and Tasoev's continued fractions
Takao Komatsu (2003)
Acta Arithmetica
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Series and iterations for 1/π
Shaun Cooper (2010)
Acta Arithmetica
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Rational approximations to Tasoev continued fractions.
Komatsu, Takao (2004)
Mathematica Pannonica
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Hurwitz continued fractions with confluent hypergeometric functions
Takao Komatsu (2007)
Czechoslovak Mathematical Journal
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Many new types of Hurwitz continued fractions have been studied by the author. In this paper we show that all of these closed forms can be expressed by using confluent hypergeometric functions . In the application we study some new Hurwitz continued fractions whose closed form can be expressed by using confluent hypergeometric functions.
Some new families of Tasoevian and Hurwitzian continued fractions
James Mc Laughlin (2008)
Acta Arithmetica
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Non-converging continued fractions related to the Stern diatomic sequence
Boris Adamczewski (2010)
Acta Arithmetica
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On certain statistical properties of continued fractions with even and with odd partial quotients
Florin P. Boca, Joseph Vandehey (2012)
Acta Arithmetica
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Real numbers with polynomial continued fraction expansions
J. Mc Laughlin, Nancy J. Wyshinski (2005)
Acta Arithmetica
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Continued fractions on the Heisenberg group
Anton Lukyanenko, Joseph Vandehey (2015)
Acta Arithmetica
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We provide a generalization of continued fractions to the Heisenberg group. We prove an explicit estimate on the rate of convergence of the infinite continued fraction and several surprising analogs of classical formulas about continued fractions.