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I'm wondering if LaTeX knows the following symbol (sorry for the hand-drawing, I didn't even find it online once):

Stylized H

It's kind of a stylized H letter that is sometimes used to denote the Hilbert Transform. I'm aware that the Hilbert Transform is usually notated differently, but I need exactly that symbol, if available.

I checked detexify and also the comprehensive LaTeX symbol list, at least the mathematical parts and found nothing.

Edit: It is different from the calligraphic H (\mathcal{H}) which looks like this here

Calligraphic H

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8
  • It's the calligraphic H: \mathcal{H}
    – René B. Christensen
    Nov 13, 2014 at 17:14
  • No, Calligraphic H has no "loops" on bottom left and top right. See edited post
    – jan
    Nov 13, 2014 at 17:21
  • The short (and not very helpful) answer is: You can create it using METAFONT. (Not that I know how to use METAFONT myself.)
    – Svend Tveskæg
    Nov 13, 2014 at 17:25
  • 2
    Look at mathalfa package documentation.
    – Manuel
    Nov 13, 2014 at 17:29
  • 1
    That looks like the German cursive I learned. Probably not that much help though.
    – Juri Robl
    Nov 13, 2014 at 17:31

3 Answers 3

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The H produced by the \mathscr macro of the MathTime Pro 2 Professional font package -- note that it's not free of charge -- may (or may not...) be what you're looking for:

enter image description here

\documentclass{article}
\usepackage[mtpscr]{mtpro2} % http://www.pctex.com/mtpro2.html
\begin{document}
$\mathscr{H}$
\end{document}

Many more possibilities present themselves if you're willing and able to use LuaLaTeX and/or XeLaTeX and the unicode-math package, as several modern math Opentype fonts feature a math script alphabet. Here are four more possibilities; the last one (from TeX Gyre Pagella Math) may be of particular interest to you:

enter image description here

% !TEX TS-program = lualatex
\documentclass{article}
\usepackage{unicode-math}
\setmathfont[version=XITS]{XITS Math}
\setmathfont[version=Asana]{Asana Math}
\setmathfont[version=Pagella]{TeX Gyre Pagella Math}
\setmathfont[version=Termes]{TeX Gyre Termes Math}
\begin{document}
\mathversion{XITS}    $\mathscr{H}$ \quad
\mathversion{Asana}   $\mathscr{H}$ \quad
\mathversion{Termes}  $\mathscr{H}$ \quad
\mathversion{Pagella} $\mathscr{H}$ \quad
\end{document}
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  • 1
    I was just about to add the same thing to my answer :) You may wish to add the TeX Gyre Pagella version as well. It's not as curly, but it falls in the same group.
    – erik
    Nov 13, 2014 at 20:12
  • 1
    @erik -- We must be mind-reading each other: I just posted an updated MWE for the Opentype math fonts that includes TeX Gyre Pagella!
    – Mico
    Nov 13, 2014 at 20:21
5

Some more free available versions:

% arara: lualatex

\documentclass{article}
\usepackage{fontspec}

\begin{document}
    Script Capital H: 

    {\fontspec{arialuni.ttf}\symbol{"210B}}
    {\fontspec{code2000.ttf}\symbol{"210B}}
    {\fontspec{dejavusans.ttf}\symbol{"210B}}
    {\fontspec{freeserif.otf}\symbol{"210B}}
    {\fontspec{mathcadunimath.otf}\symbol{"210B}}
    {\fontspec{quivira.otf}\symbol{"210B}}
    {\fontspec{symbola.ttf}\symbol{"210B}}
\end{document}

enter image description here

In case, you do not want to use one of the script H letters, you might want to choose one of the following which look a bit similar:

% arara: pdflatex

\documentclass{article}
\usepackage{amssymb}

\begin{document}
$\ae\varkappa\aleph$
\end{document}

enter image description here

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4

You can get something very similar to what Mico showed using \mathscr{H} and mathrsfs, which is free.

enter image description here

\documentclass{standalone}
\usepackage{mathrsfs}
\begin{document}
$\mathscr{H}$
\end{document}
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