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Showing iterates of a complex function on the upper half plane converges uniformly on compact sets

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#complex-analysis #dynamical-systems #continued-fractions #complex-dynamics
131
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Updated:Sum of entries in continued fraction of $\sqrt d$ and $\sqrt{d}-\lfloor \sqrt{d}\rfloor$ equals (divides) $d$.

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#number-theory #continued-fractions
188
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Question in fraction (not simple )

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#number-theory #fractions #continued-fractions
3.1k
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Cube root of two $\sqrt[3]2$ continued fraction

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#radicals #continued-fractions
99
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functions on a continued fraction expansion

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#continued-fractions
986
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Solving Pell's equation: algorithm to converge $\sqrt n$

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#convergence-divergence #diophantine-equations #continued-fractions #pell-type-equations
91
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Evaluating $\frac{2}{3-\frac{2}{3-\frac{2}{3-\ldots} } }$

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#sequences-and-series #continued-fractions
59
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How to write continued fraction as polynomial?

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#analysis #numerical-methods #continued-fractions
100
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PDF describing nth term in continued fraction

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#probability-distributions #conditional-probability #continued-fractions #uniform-distribution
1.7k
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Rational aproximations of golden ratio

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#number-theory #continued-fractions #golden-ratio
334
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Continued fraction proof

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#number-theory #continued-fractions
816
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Proof of continued fraction convergence theorem

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#continued-fractions
155
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Summing up numbers from the continued fraction of $e ^ \pi$ and $\pi ^e$

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#sequences-and-series #number-theory #closed-form #continued-fractions
76
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How to find the terms of the continued fraction representation for $e^\pi$

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#continued-fractions
1.3k
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Chinese estimate for $\pi$. Were they lucky?

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#soft-question #math-history #irrational-numbers #pi #continued-fractions

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