On a class of hypergeometric diagonals
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Publication:5027153
DOI10.1090/proc/15693zbMath1486.13032arXiv2008.12809OpenAlexW3173296637MaRDI QIDQ5027153
Publication date: 4 February 2022
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.12809
Hadamard productsgeneralized hypergeometric functionsalgebraic functionsD-finite functionsHadamard gradeChristol's conjecturediagonals of power seriesglobally bounded functions
Arithmetic theory of algebraic function fields (11R58) Power series (including lacunary series) in one complex variable (30B10) Generalized hypergeometric series, ({}_pF_q) (33C20) Formal power series rings (13F25)
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On the representability of sequences as constant terms ⋮ Algebraicity modulo \(p\) of generalized hypergeometric series \({}_n F_{n - 1}\)
Cites Work
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- Diagonals of rational fractions
- Multivariate Apéry numbers and supercongruences of rational functions
- Hadamard grade of power series
- Hadamard products of algebraic functions
- Transcendence of periods: the state of the art
- The diagonal of a D-finite power series is D-finite
- Monodromy for the hypergeometric function \(_ nF_{n-1}\)
- The method of creative telescoping
- Hypergeometric solutions of linear recurrences with polynomial coefficients
- Sur les séries de Taylor n'ayant que des singularites algebrico- logarithmiques sur leur cercle de convergence
- Algebraic functions over finite fields
- Creative telescoping for rational functions using the griffiths
- Diagonals of rational functions and selected differential Galois groups
- Factorial ratios, hypergeometric series, and a family of step functions
- Isingn-fold integrals as diagonals of rational functions and integrality of series expansions
- Creative Telescoping for Holonomic Functions
- On Christol’s conjecture