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Keywords:
difference; quantum difference; quantum derivative; power series
difference; quantum difference; quantum derivative; power series
Summary:
We consider real valued functions $f$ defined on a subinterval $I$ of the positive real axis and prove that if all of $f$’s quantum differences are nonnegative then $f$ has a power series representation on $I$. Further, if the quantum differences have fixed sign on $I$ then $f$ is analytic on $I$.
References:
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