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Continued fractions arising from F1,2
Sarma R., Kushwaha S., Krishnan R.
Published in Academic Press Inc.
Volume: 154
Pages: 179 - 200
We have described a new kind of continued fraction which is referred to as an F1,2-continued fraction. The F1,2-continued fraction arises from a subgraph (denoted as F1,2) of the Farey graph. We have given a geometric interpretation of the partial quotients and formulated an algorithm to find F1,2-continued fraction expansion of a number. We have also studied the analogues of certain properties of regular continued fractions in the context of F1,2-continued fractions. © 2015 Elsevier Inc.
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Published in Academic Press Inc.
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