Fungrim home page

Fungrim entry: 7194d4

BranchCuts⁡ ⁣(CAi⁡ ⁣(z)+DBi⁡ ⁣(z),z,C)={}\operatorname{BranchCuts}\!\left(C \operatorname{Ai}\!\left(z\right) + D \operatorname{Bi}\!\left(z\right), z, \mathbb{C}\right) = \left\{\right\}
Assumptions:C∈C  and⁡  D∈CC \in \mathbb{C} \;\mathbin{\operatorname{and}}\; D \in \mathbb{C}
TeX:
\operatorname{BranchCuts}\!\left(C \operatorname{Ai}\!\left(z\right) + D \operatorname{Bi}\!\left(z\right), z, \mathbb{C}\right) = \left\{\right\}

C \in \mathbb{C} \;\mathbin{\operatorname{and}}\; D \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
AiryAiAi⁡ ⁣(z)\operatorname{Ai}\!\left(z\right) Airy function of the first kind
AiryBiBi⁡ ⁣(z)\operatorname{Bi}\!\left(z\right) Airy function of the second kind
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("7194d4"),
    Formula(Equal(BranchCuts(Add(Mul(C, AiryAi(z)), Mul(D, AiryBi(z))), z, CC), Set())),
    Variables(C, D),
    Assumptions(And(Element(C, CC), Element(D, CC))))

Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC