Formula:KLS:01.16:05

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formula in Shift operators and Rodrigues-type formulas

Formula:KLS:01.16:06 >>

${\displaystyle{\displaystyle{\displaystyle\delta^{2}f(x)=f(x+\mathrm{i})-f(x)-f(x)+f(x-\mathrm{i})=f(x+\mathrm{i})-2f(x)+f(x-\mathrm{i})}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle\mathrm{i}}}}$ : imaginary unit : http://dlmf.nist.gov/1.9.i

Bibliography

Equation in Section 1.16 of KLS.

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formula in Shift operators and Rodrigues-type formulas

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