## Simple proofs of classical results on zeros of $$J_{\nu}(x)$$ and $$J'_{\nu}(x)$$.(English)Zbl 1305.33008

Summary: The Bessel functions $$J_{\nu}(x)$$ and their derivatives $$J'_{\nu}(x)$$ can be represented by infinite series and infinite products. Using these representations we give very simple proofs for known results concerning the zeros of the above functions.

### MSC:

 33C10 Bessel and Airy functions, cylinder functions, $${}_0F_1$$

DLMF
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### References:

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