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1: 17.2 Calculus
§17.2(iv) Derivatives
The q -derivatives of f ( z ) are defined by … When q 1 the q -derivatives converge to the corresponding ordinary derivatives. …
2: 23.15 Definitions
23.15.8 θ 1 ( 0 , q ) = θ 1 ( z , q ) / z | z = 0 .
3: 18.27 q -Hahn Class
In the q -Hahn class OP’s the role of the operator d / d x in the Jacobi, Laguerre, and Hermite cases is played by the q -derivative 𝒟 q , as defined in (17.2.41). …
4: 36.2 Catastrophes and Canonical Integrals
2 q + 1 x 1 2 q + 1 Ψ K ( 0 ) = 0 , K even,