ContinuedFractionK

ContinuedFractionK[f,g,{i,imin,imax}]

represents the continued fraction .

ContinuedFractionK[g,{i,imin,imax}]

represents the continued fraction .

Details and Options

Examples

open allclose all

Basic Examples  (2)

A simple continued fraction:

The ^(th) convergents of a continued fraction:

Options  (1)

GenerateConditions  (1)

Generate conditions required for the continued fraction to converge:

Properties & Relations  (2)

A continued fraction can be constructed as a ratio of solutions to a second-order recurrence equation:

A continued fraction is the ratio of two linearly independent solutions:

ContinuedFractionK and FromContinuedFraction are reciprocals of one another:

Possible Issues  (1)

Continued fractions may not be convergent:

Neat Examples  (1)

Create a gallery of continued fractions:

Wolfram Research (2008), ContinuedFractionK, Wolfram Language function, https://reference.wolfram.com/language/ref/ContinuedFractionK.html.

Text

Wolfram Research (2008), ContinuedFractionK, Wolfram Language function, https://reference.wolfram.com/language/ref/ContinuedFractionK.html.

CMS

Wolfram Language. 2008. "ContinuedFractionK." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ContinuedFractionK.html.

APA

Wolfram Language. (2008). ContinuedFractionK. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ContinuedFractionK.html

BibTeX

@misc{reference.wolfram_2024_continuedfractionk, author="Wolfram Research", title="{ContinuedFractionK}", year="2008", howpublished="\url{https://reference.wolfram.com/language/ref/ContinuedFractionK.html}", note=[Accessed: 21-November-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_continuedfractionk, organization={Wolfram Research}, title={ContinuedFractionK}, year={2008}, url={https://reference.wolfram.com/language/ref/ContinuedFractionK.html}, note=[Accessed: 21-November-2024 ]}