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Fungrim entry: ff58cf

RC ⁣(0,y)={π2y,y≠0∞~,y=0R_C\!\left(0, y\right) = \begin{cases} \frac{\pi}{2 \sqrt{y}}, & y \ne 0\\{\tilde \infty}, & y = 0\\ \end{cases}
Assumptions:y∈Cy \in \mathbb{C}
TeX:
R_C\!\left(0, y\right) = \begin{cases} \frac{\pi}{2 \sqrt{y}}, & y \ne 0\\{\tilde \infty}, & y = 0\\ \end{cases}

y \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
CarlsonRCRC ⁣(x,y)R_C\!\left(x, y\right) Degenerate Carlson symmetric elliptic integral of the first kind
Piπ\pi The constant pi (3.14...)
Sqrtz\sqrt{z} Principal square root
UnsignedInfinity∞~{\tilde \infty} Unsigned infinity
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("ff58cf"),
    Formula(Equal(CarlsonRC(0, y), Cases(Tuple(Div(Pi, Mul(2, Sqrt(y))), NotEqual(y, 0)), Tuple(UnsignedInfinity, Equal(y, 0))))),
    Variables(y),
    Assumptions(Element(y, 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