On the algebraic independence of values of generalized hypergeometric functions
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Publication:382357
DOI10.1134/S0001434613070080zbMath1282.33007MaRDI QIDQ382357
Publication date: 18 November 2013
Published in: Mathematical Notes (Search for Journal in Brave)
Galois groupgeneralized hypergeometric functiontranscendence degreelinear differential equationdifferential fieldalgebraic independence of solutionscontiguous functions
Other functions coming from differential, difference and integral equations (33E30) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)
Related Items (6)
On the algebraic properties of solutions of inhomogeneous hypergeometric equations ⋮ Unnamed Item ⋮ On algebraic identities between solution matrices of Bessel's and Kummer's equations ⋮ ON CONTIGUITY RELATIONS FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS ⋮ Unnamed Item ⋮ Unnamed Item
Cites Work
- On algebraic identities between generalized hypergeometric functions
- Siegel normality
- Algebraic relations between the hypergeometric \(E\)-function and its derivatives
- Algebraic independence of values of hypergeometric \(E\)-functions
- Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations
- Exponential Sums and Differential Equations. (AM-124)
- Неприводимость гипергеометрических уравнений и алгебраическая независимость значений E-функций
- Algebraic Groups and Algebraic Dependence
- Transcendental Numbers. (AM-16)
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