On a criterion for Siegel's hypergeometric functions to belong. to the class of E-functions
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Publication:1150393
DOI10.1007/BF01142505zbMath0456.10017MaRDI QIDQ1150393
Publication date: 1981
Published in: Mathematical Notes (Search for Journal in Brave)
Transcendence (general theory) (11J81) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)
Related Items (9)
On Galochkin's characterization of hypergeometric \(G\)-functions ⋮ Linear Forms in Polylogarithms ⋮ On global relations for hypergeometric series ⋮ On the weakened Siegel's conjecture ⋮ A non-hypergeometric \(E\)-function ⋮ On the linear independence of certain numbers ⋮ Algebraic independence of the values of \(E\)-functions at singular points and Siegel's conjecture ⋮ Lower estimates of linear forms in the values of the Kummer function with an irrational parameter ⋮ Padé approximation for a class of hypergeometric functions and parametric geometry of numbers
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