In the analytic theory of continued fractions, Euler's continued fraction formula is an identity connecting a very general infinite series to an infinite continued fraction. First published in 1748, it was originally understood as a simple identity linking a finite sum to a finite continued fraction, with the extension to the infinite case seen as immediately apparent; it is now valued as a tool in analytic work on the general convergence problem for infinite continued fractions with complex terms.
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Origin YearFirst published in 1748 Connections
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Source Euler's Continued Fraction Formula (Wikipedia)
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Source Euler's Continued Fraction Formula (Wikipedia)
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1. Euler's Continued Fraction Formula (Wikipedia)
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In the analytic theory of continued fractions, Euler's continued fraction formula is an identity connecting a certain very general infinite series with an infinite continued fraction.
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