A Higher Order Painlevé System in Two Variables and Extensions of the Appell Hypergeometric Functions <i>F</i><sub>1</sub>, <i>F</i><sub>2</sub> and <i>F</i><sub>3</sub>
From MaRDI portal
Publication:5234831
DOI10.1619/fesi.61.81zbMath1426.34114arXiv1602.04573OpenAlexW2963111206MaRDI QIDQ5234831
Publication date: 4 October 2019
Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.04573
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Appell, Horn and Lauricella functions (33C65) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A particular solution of a Painlevé system in terms of the hypergeometric function \(_{n+1}F_{n}\)
- Fractional calculus of Weyl algebra and Fuchsian differential equations
- On a fundamental system of solutions of a certain hypergeometric equation
- UC hierarchy and monodromy preserving deformation
- HYPERGEOMETRIC SOLUTION OF A CERTAIN POLYNOMIAL HAMILTONIAN SYSTEM OF ISOMONODROMY TYPE
- Six-dimensional Painlevé systems and their particular solutions in terms of rigid systems
- Higher order Painlevé system of type D2n+2(1) and monodromy preserving deformation
- Matrix Painlevé systems
- Classification of Fuchsian systems and their connection problem
- Middle convolution and deformation for Fuchsian systems