A simple algorithm for expanding a power series as a continued fraction

نویسندگان

چکیده

I present and discuss an extremely simple algorithm for expanding a formal power series as continued fraction. This algorithm, which goes back to Euler (1746) Viscovatov (1805), deserves be better known. also the connection of this with work Gauss (1812), Stieltjes (1889), Rogers (1907) Ramanujan, combinatorial interpretation based on Flajolet (1980).

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ژورنال

عنوان ژورنال: Expositiones Mathematicae

سال: 2023

ISSN: ['1878-0792', '0723-0869']

DOI: https://doi.org/10.1016/j.exmath.2022.12.001