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Exponential and Continued Fractions

✍ Scribed by Dinesh S Thakur

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 329 KB
Volume: 59
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1996.0097

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✦ Synopsis

We show that the simple continued fractions for the analogues of (ae 2Ân +b)Â(ce 2Ân +d ) in function fields, with the usual exponential replaced by the exponential for F q [t] have very interesting patterns. These are quite different from their classical counterparts. We also show some continued fraction expansions coming from function field analogues of hypergeometric functions 1996 Academic Press, Inc.

On the other hand, nobody has made any sense out of the pattern for ?. (We restrict our attention to simple continued fractions: of course, there are many generalized continued fractions with nice patterns for numbers article no.

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