A simple algorithm for expanding a power series as a continued fraction
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Publication:6173822
DOI10.1016/j.exmath.2022.12.001zbMath1520.30007arXiv2206.15434OpenAlexW4313420675WikidataQ128282129 ScholiaQ128282129MaRDI QIDQ6173822
Publication date: 13 July 2023
Published in: Expositiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.15434
Power series (including lacunary series) in one complex variable (30B10) Continued fractions; complex-analytic aspects (30B70)
Related Items (2)
When does a hypergeometric function \(_pF_q\) belong to the Laguerre-Pólya class \(LP^+\)? ⋮ Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes–Rogers and Thron–Rogers Polynomials, with Coefficientwise Hankel-Total Positivity
Cites Work
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- On some continued fraction expansions of the Rogers-Ramanujan type
- The leading root of the partial theta function
- Production matrices and riordan arrays
- Ramanujan's ``Lost notebook. VIII: The entire Rogers-Ramanujan function
- Ramanujan's ``lost notebook. IX: The partial theta function as an entire function
- Hypergeometric series and continued fractions
- Sur le développement d'une fraction continue liée à série hypergéométrique et son interprétation en termes de records et anti-records dans les permutations. (On the development of a continued fraction related with a hypergeometric series and its interpretation in terms of records and antirecords in permutations)
- Combinatorial aspects of continued fractions
- Continued fractions with applications
- Euler's 1760 paper on divergent series
- A class of algorithms for obtaining rational approximants to functions which are defined by power series
- Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions
- Production matrices
- Elliptic functions, continued fractions and doubled permutations
- Combinatorial theory of \(\text{T}\)-fractions and two points Padé approximants
- The Euler and Springer numbers as moment sequences
- Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions
- Phylogenetic trees, augmented perfect matchings, and a Thron-type continued fraction (T-fraction) for the Ward polynomials
- Lattice paths and branched continued fractions. II: Multivariate Lah polynomials and Lah symmetric functions
- Modular forms and Eisenstein's continued fractions
- Distribution of crossings, nestings and alignments of two edges in matchings and partitions
- Meromorphic property of the functions \(P^ \lambda\)
- The Fermat cubic, elliptic functions, continued fractions, and a combinatorial excursion
- How to prove Ramanujan's $q$-continued fractions
- Two Notes on Notation
- Nombres Exponentiels Et Nombres De Bernoulli
- Euler's Pentagonal Number Theorem
- Euler Subdues a Very Obstreperous Series
- Some Properties of Continued Fractions with Applications in Markov Processes
- On Lambert's Proof of the Irrationality of π
- Combinatorics of Orthogonal Polynomials and their Moments
- Addition theorems via continued fractions
- Euler and his work on infinite series
- Ramanujan's Lost Notebook
- Error Bounds in Equilibrium Statistical Mechanics
- Formal Power Series
- Resolution of Singularities and Division of Distributions
- Some properties of continued fractions 1+𝑑₀𝑧+𝐾(𝑧/\vphantom{𝑧(1+𝑑_{𝑛}𝑧)}.\kern-\nulldelimiterspace(1+𝑑_{𝑛}𝑧))
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