On Algebraic Properties of Integrals of Products of Some Hypergeometric Functions
From MaRDI portal
Publication:6494802
DOI10.1134/S0001434624010164MaRDI QIDQ6494802
Publication date: 30 April 2024
Published in: Mathematical Notes (Search for Journal in Brave)
Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91) Transcendence (general theory) (11J81) Classical hypergeometric functions, ({}_2F_1) (33C05)
Cites Work
- Unnamed Item
- Unnamed Item
- On the algebraic properties of solutions of inhomogeneous hypergeometric equations
- On the weakened Siegel's conjecture
- Gevrey series of arithmetic type. I: Purity and duality theorems
- Algebraic independence of the values of \(E\)-functions at singular points and Siegel's conjecture
- Algebraic relations between the hypergeometric \(E\)-function and its derivatives
- On the Siegel conjecture for second-order homogeneous linear differential equations
- A non-hypergeometric \(E\)-function
- On the structure of the set of \(E\)-functions satisfying linear differential equations of second order
- Sur les rélations algébriques entre les intégrales indefinies
- Exponential Sums and Differential Equations. (AM-124)
- Values of globally bounded $G$-functions
- Algebraic Groups and Algebraic Dependence
- Transcendental Numbers. (AM-16)
This page was built for publication: On Algebraic Properties of Integrals of Products of Some Hypergeometric Functions