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Asymptotics of Saran's hypergeometric function \(F_K\) - MaRDI portal

Asymptotics of Saran's hypergeometric function \(F_K\) (Q6616000)

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scientific article; zbMATH DE number 7923645
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Asymptotics of Saran's hypergeometric function \(F_K\)
scientific article; zbMATH DE number 7923645

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    Asymptotics of Saran's hypergeometric function \(F_K\) (English)
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    8 October 2024
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    The authors derive asymptotic expansions of the Humbert function \(\Psi_1\) when one of its variable goes to infinity. The resulting expressions are then used to obtain an asymptotic expression of the Saran hypergeometric function \(F_K\) when two of its variables go simultaneously to infinity.
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    asymptotic expansion
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    Humbert function
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    Saran's hypergeometric function
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