DirectedInfinity

Notations

Traditional name

Traditional notation

Mathematica StandardForm notation

Primary definition

z ∞ represents an infinite numerical quantity that is a positive real multiple of the complex number z.

Specific values

Values at fixed points

Values at infinities

General characteristics

z ∞ is a special symbol. On the Riemann sphere it is the north pole together with the direction z how to approach it. In the projective complex plane it is a point at the line at infinity.

Transformations

Transformations and argument simplifications

Argument involving complex components

Power of arguments

Products, sums, and powers of the direct function

Products involving the direct function

Related transformations

Complex characteristics

Real part

Imaginary part

Absolute value

Argument

Conjugate value

Differentiation

Low-order differentiation

Integration

Indefinite integration

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