Abstract
In $1945$, Wolfgang Hahn introduced his difference operator $D_{q,\omega}$, which is defined by where $\displaystyle{\omega_0=\frac {\omega}{1-q}}$ with $0<q<1, \omega>0.$ In this paper, we establish Leibniz's rule and Fubini's theorem associated with this Hahn difference operator.
Highlights
In this paper, we establish Leibniz’s rule and Fubini’s theorem associated with this Hahn difference operator
We prove Fubini’s theorem in Hahn difference operator setting, that is, we prove that the iterated integrals are equal
In the folloing we present some needed results from [1] concerning the calculus associated with Dq
Summary
We establish Leibniz’s rule and Fubini’s theorem associated with this Hahn difference operator. This paper is devoted to establishing Leibniz’s rule and Fubini’s theorem associated with the q, - difference operator. We prove Fubini’s theorem in Hahn difference operator setting, that is, we prove that the iterated integrals are equal.
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