Formula:KLS:01.14:15

<< Formula:KLS:01.14:14

formula in Some q-analogues of special functions

Formula:KLS:01.14:16 >>

${\displaystyle{\displaystyle{\displaystyle\lim\limits_{q\rightarrow 1}J_{\nu}^{(k)}((1-q)z;q)=J_{\nu}\left(z\right)}}}$

Substitution(s)

${\displaystyle{\displaystyle{\displaystyle k=1,2}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle J_{\nu}}}}$ : Bessel function of the first kind : http://dlmf.nist.gov/10.2#E2

Bibliography

Equation in Section 1.14 of KLS.

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<< Formula:KLS:01.14:14

formula in Some q-analogues of special functions

Formula:KLS:01.14:16 >>