Fungrim entry: 24d383

Symbol: HankelH1 —

H^{(1)}_{\nu}\!\left(z\right)

— Hankel function of the first kind

The following table lists all conditions such that HankelH1(nu, z) is defined in Fungrim.

Domain	Codomain
Numbers
$\nu \in \mathbb{C} \;\mathbin{\operatorname{and}}\; z \in \mathbb{C} \setminus \left\{0\right\}$	$H^{(1)}_{\nu}\!\left(z\right) \in \mathbb{C}$

Table data:

\left(P, Q\right)

such that

\left(P\right) \;\implies\; \left(Q\right)

Definitions:

Fungrim symbol	Notation	Short description
`HankelH1`	$H^{(1)}_{\nu}\!\left(z\right)$	Hankel function of the first kind
`CC`	$\mathbb{C}$	Complex numbers

Source code for this entry:

Entry(ID("24d383"),
    SymbolDefinition(HankelH1, HankelH1(nu, z), "Hankel function of the first kind"),
    Description("The following table lists all conditions such that", SourceForm(HankelH1(nu, z)), "is defined in Fungrim."),
    Table(TableRelation(Tuple(P, Q), Implies(P, Q)), TableHeadings(Description("Domain"), Description("Codomain")), List(TableSection("Numbers"), Tuple(And(Element(nu, CC), Element(z, SetMinus(CC, Set(0)))), Element(HankelH1(nu, z), CC)))))

Topics using this entry

Bessel functions