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- W2949258577 abstract "Many generalizations of continued fractions, where the reciprocal function has been replaced by a more general function, have been studied, and it is often asked whether such generalized expansions can have nice properties. For instance, we might ask that algebraic numbers of a given degree have periodic expansions, just as quadratic irrationals have periodic continued fractions; or we might ask that familiar transcendental constants such as $e$ or $pi$ have periodic or terminating expansions. In this paper, we show that there exist such generalized continued function expansions with essentially any desired behavior." @default.
- W2949258577 created "2019-06-27" @default.
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- W2949258577 date "2002-06-17" @default.
- W2949258577 modified "2023-09-27" @default.
- W2949258577 title "The Unreasonable Effectualness of Continued Function Expansions" @default.
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