DiscreteDelta

Notations

Traditional name

Traditional notation

Mathematica StandardForm notation

Primary definition

The below formula accumulates the above definitions for different values n in one expression.

Specific values

Values at fixed points

Values at infinities

General characteristics

Domain and analyticity

δ(n) is a nonanalytical function defined on ℂ. Its possible values are 0 and 1.

Symmetries and periodicities

Parity

δ(n) is an even function.

Periodicity

No periodicity

Integral representations

On the real axis

Transformations

Transformations and argument simplifications

Differentiation

Low-order differentiation

Fractional integro-differentiation

Integration

Indefinite integration

Representations through equivalent functions

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