\(K\)-Bessel functions in two variables (Q1864330)

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scientific article; zbMATH DE number 1883716
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\(K\)-Bessel functions in two variables
scientific article; zbMATH DE number 1883716

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    \(K\)-Bessel functions in two variables (English)
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    17 March 2003
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    Summary: The Bessel-Muirhead hypergeometric system (or \(_{0}F_1\)-system) in two variables (and three variables) is solved using symmetric series, with an explicit formula for coefficients, in order to express the \(K\)-Bessel function as a linear combination of the J-solutions. Limits of this method and suggestions for generalizations to a higher rank are discussed.
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