The LaTeX command for mathcal F (ℱ) is \mathcal{F} (Fourier transform).
\mathcal{F}Writing a paper? The table generator and the BibTeX cleaner are one click away, no account.
Write \mathcal{F} inside math mode, that is between $…$ for inline math or in a \[ … \] or equation block for display math. It is part of core LaTeX math, so no extra package is required.
\mathcal{F} is a math-mode symbol: in running text, wrap it in $...$. With unicode-math under XeLaTeX or LuaLaTeX, typing ℱ in a formula gives the same symbol.
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\triangle\diamond\bigodot\bigoplus\bigotimes\mathcal{L}\mathcal{H}\mathcal{A}\mathcal{B}\mathcal{C}\mathcal{D}\mathcal{G}\mathcal{M}\mathcal{N}More math symbols in LaTeX: the full table or search all 350+ LaTeX symbols.
Use \mathcal{F} in math mode; it needs no extra package. For example, $\mathcal{F}$.
None: \mathcal{F} is built into LaTeX, so no extra package is required.