Umbral operator techniques are applied to q-calculus to formally derive q-Gaussian and q-Fresnel integral identities and q-trigonometric functions, with limited rigorous justification.
Roman, More on the Umbral Calculus, with Emphasis on the q -Umbral Calculus , J
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Can Umbral and $q$-calculus be merged?
Umbral operator techniques are applied to q-calculus to formally derive q-Gaussian and q-Fresnel integral identities and q-trigonometric functions, with limited rigorous justification.