Continued Fractions with Quadratic Numerators via the Bauer–Muir Transform

Continued Fractions with Quadratic Numerators via the Bauer–Muir Transform

We study a class of continued fraction transformations where the partial numerators are quadratic polynomials and the denominators are linear or constant. Using the Bauer–Muir transform, we establish two theorems that yield structurally distinct but equivalent continued fractions—one with rational c...

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Bibliographic Details
Main Authors: Kwang-Wu Chen, Chia-Hsin Liu
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Mathematics
Subjects:
continued fractions
Bauer–Muir transform
quadratic numerators
Ramanujan Machine
transformation formulas
evaluation identities
Online Access:https://www.mdpi.com/2227-7390/13/15/2332
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