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Difference Time Scales

K. A. Aldwoah, H. E. Hamza

Abstract


This paper is devoted to introduce a general time scale such that we unify the well known difference operators, like Jackson q-difference operator, the finite difference operator, and Hahn difference operator, in one operator (called a general difference operator). We also derive a common calculus associated with this operator, that includes the calculus of all previous operators.

Keywords


time scales, dynamic equations, Hahn's operator, difference equations, q- difference equations, Norlund sums, Jackson q-integral.

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