# DiscreteShift

DiscreteShift[f,i]

gives the discrete shift .

DiscreteShift[f,{i,n}]

gives the multiple shift .

DiscreteShift[f,{i,n,h}]

gives the multiple shift of step h.

DiscreteShift[f,i,j,]

computes partial shifts with respect to i, j, .

# Details and Options

• DiscreteShift[f,i] can be input as if. The character is entered using shift or \[DiscreteShift]. The variable i is entered as a subscript.
• All quantities that do not explicitly depend on the variables given are taken to have constant partial shift.
• DiscreteShift[f,i,j] can be input as i,jf. The character \[InvisibleComma], entered as ,, can be used instead of the ordinary comma.
• DiscreteShift[f,{i,n,h}] can be input as {i,n,h}f.
• DiscreteShift[f,,Assumptions->assum] uses the assumptions assum in the course of computing discrete shifts.

# Examples

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## Basic Examples(4)

Shift with respect to i:

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Shift with step h:

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Multiple shifts with respect to i:

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Enter using shift, and subscripts using :

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The shift with respect to i of scoped operators:

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