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On a function associated with the Bessel functions

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Summary

Defining the function Δn, 1,k;x(J) asΔn, 1,k;x(J)=J n+1(x)−J n(x)J n+k+1(x) associated with the Bessel functionJ n(x), we derive a series of products of Bessel functions for Δn, f, k, x (J). Whenk=1,k;x (J) becomes Turàn expression for Bessel functions. Some consequences have been pointed out.

Riassunto

Definita la Δn, f, k, x (J) come Δn, f, k, x, (J)=J n+1(x)J n+k(x)-J n(n+k+1)(x) associata alla funzioneJ n(x) di Bessel, si ricava una serie di prodotti di funzioni di Bessel per Δn, f, k, x, (J). 3

Quandok=1, Δn, f, k, x, (J) diventa una espressione di Turàn per le funzioni di 2 Bessel, vengono inoltre indicate alcune altre conseguenze.

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References

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  1. Calcutta

    S. K. Chatterjea

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  1. S. K. Chatterjea
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Chatterjea, S.K. On a function associated with the Bessel functions. Ann. Univ. Ferrara 10, 13–16 (1961). https://doi.org/10.1007/BF02824729

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  • DOI: https://doi.org/10.1007/BF02824729

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