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• W2016304104 abstract "We describe a simple method that produces automatically closed forms for the coefficients of continued fractions expansions of a large number of special functions. The function is specified by a non-linear differential equation and initial conditions. This is used to generate the first few coefficients and from there a conjectured formula. This formula is then proved automatically thanks to a linear recurrence satisfied by some remainder terms. Extensive experiments show that this simple approach and its straightforward generalization to difference and q-difference equations capture a large part of the formulas in the literature on continued fractions." @default.
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• W2016304104 date "2015-06-24" @default.
• W2016304104 modified "2023-09-25" @default.
• W2016304104 title "Formulas for Continued Fractions: An Automated Guess and Prove Approach" @default.
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