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On the Lie algebra of contiguity for the hypergeometric functions \(F_A\), \(F_B\) and \(F_D\) - MaRDI portal

On the Lie algebra of contiguity for the hypergeometric functions \(F_A\), \(F_B\) and \(F_D\) (Q6589616)

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scientific article; zbMATH DE number 7898740
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English
On the Lie algebra of contiguity for the hypergeometric functions \(F_A\), \(F_B\) and \(F_D\)
scientific article; zbMATH DE number 7898740

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    On the Lie algebra of contiguity for the hypergeometric functions \(F_A\), \(F_B\) and \(F_D\) (English)
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    20 August 2024
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    In the paper the hypergeometric functions \(F_A\), \(F_B\), \(F_D\) are expressed through hypergeometric functions on Grassmanians. Using these expressions the contiguity relations for these functions are derived using the right action of the general linear group on the Grassmanian.
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    Gelfand's hypergeometric function
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    Lauricella's hypergeometric functions
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    contiguity relation
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    Lie algebra
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