Q-Cos

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The function $\mathrm{Cos}_q$ is defined by $$\mathrm{Cos}_q(z)=\dfrac{E_q(iz)+E_q(-iz)}{2},$$ where $E_q$ denotes the $q$-exponential $E$.

Properties

q-Euler formula for E sub q
q-derivative of q-Cos

External links

[1]

References