Formula:KLS:01.16:12

<< Formula:KLS:01.16:11

formula in Shift operators and Rodrigues-type formulas

Formula:KLS:01.16:13 >>

${\displaystyle{\displaystyle{\displaystyle\delta_{q}f({\mathrm{e}^{\mathrm{i}\theta}})=f(q^{\frac{1}{2}}{\mathrm{e}^{\mathrm{i}\theta}})-f(q^{-\frac{1}{2}}{\mathrm{e}^{\mathrm{i}\theta}})}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle\mathrm{e}}}}$ : the base of the natural logarithm : http://dlmf.nist.gov/4.2.E11
${\displaystyle{\displaystyle{\displaystyle\mathrm{i}}}}$ : imaginary unit : http://dlmf.nist.gov/1.9.i

Bibliography

Equation in Section 1.16 of KLS.

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<< Formula:KLS:01.16:11

formula in Shift operators and Rodrigues-type formulas

Formula:KLS:01.16:13 >>