Some new recurrence relations concerning Jacobi functions (Q355651)

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scientific article; zbMATH DE number 6191123
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Some new recurrence relations concerning Jacobi functions
scientific article; zbMATH DE number 6191123

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    Some new recurrence relations concerning Jacobi functions (English)
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    25 July 2013
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    Summary: The aim of this paper is to obtain some new recurrence relations for the ``modified'' Jacobi functions \(\Phi^{\alpha, \beta}_\lambda\). Based on an asymptotic relationship between the Jacobi function and the Bessel function, the expression of Bessel function in terms of elementary functions follows as particular case.
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    recurrence relations
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    Jacobi functions
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    Bessel function
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