Fungrim symbol: UnsignedInfinity

Symbol: UnsignedInfinity —

{\tilde \infty}

— Unsigned infinity

This formal symbol represents a quantity with infinite magnitude and undefined sign.

It is typically used to represent the value of meromorphic functions at poles.

The set

\mathbb{C} \cup \left\{{\tilde \infty}\right\}

represents the complex Riemann sphere.

Definitions:

Fungrim symbol	Notation	Short description
`UnsignedInfinity`	${\tilde \infty}$	Unsigned infinity
`CC`	$\mathbb{C}$	Complex numbers

Source code for this entry:

Entry(ID("486ab2"),
    SymbolDefinition(UnsignedInfinity, UnsignedInfinity, "Unsigned infinity"),
    Description("This formal symbol represents a quantity with infinite magnitude and undefined sign."),
    Description("It is typically used to represent the value of meromorphic functions at poles."),
    Description("The set", Union(CC, Set(UnsignedInfinity)), "represents the complex Riemann sphere."))

Topics using this symbol

The symbol UnsignedInfinity appears in 23 topics:

Specific values of Carlson symmetric elliptic integrals (in 14 entries)
Riemann zeta function (in 4 entries)
Operators (in 4 entries)
Legendre elliptic integrals (in 4 entries)
Lambert W-function (in 4 entries)
Gamma function (in 4 entries)
Dirichlet L-functions (in 4 entries)
Sine (in 3 entries)
Natural logarithm (in 3 entries)
Legendre polynomials (in 3 entries)
Inverse tangent (in 3 entries)
Hurwitz zeta function (in 3 entries)
Exponential function (in 3 entries)
Airy functions (in 3 entries)
Weierstrass elliptic functions (in 2 entries)
Square roots (in 2 entries)
Specific values of the digamma function (in 2 entries)
Dedekind eta function (in 2 entries)
Beta function (in 2 entries)
Zeros of the Riemann zeta function (in 1 entries)
Powers (in 1 entries)
Numbers and infinities (in 1 entries)
Complex parts (in 1 entries)

Entries using this symbol

The symbol UnsignedInfinity appears in 72 entries: