Algebraicity of solutions to the Mellin system and its monodromy
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Publication:492452
DOI10.1134/S106456240701022XzbMath1327.33001OpenAlexW2053503894MaRDI QIDQ492452
Alicia Dickenstein, Timour Sadykov
Publication date: 20 August 2015
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s106456240701022x
Generalized hypergeometric series, ({}_pF_q) (33C20) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Linear higher-order PDEs (35G05) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)
Related Items (6)
The monodromy of a general algebraic function ⋮ On the analytic complexity of hypergeometric functions ⋮ Evaluating the rational generating function for the solution of the Cauchy problem for a two-dimensional difference equation with constant coefficients ⋮ Computational problems of multivariate hypergeometric theory ⋮ Algorithmic Computation of Polynomial Amoebas ⋮ Upper Bounds for the Analytic Complexity of Puiseux Polynomial Solutions to Bivariate Hypergeometric Systems
Cites Work
- Generating functional of correlation functions for the nonlinear Schrödinger equation
- Solving algebraic equations in terms of \(\mathcal A\)-hypergeometric series
- The \({\mathcal A}\)-hypergeometric system associated with a monomial curve
- On the Horn system of partial differential equations and series of hypergeometric type
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