How to make double-struck capital letters italic (e.g. U+1D53C)?

Question

In Word I am able to include the unicode symbol U+1D53C (write number and press Alt+C) and assign italic formatting:

How do I get the same result in LaTeX?

I tried:

1. \mathit{\mathbb{E}}
2. {\it \mathbb{E}}
3. \mathit{ \unicode{x1D7D9} \; \unicode{x1D53C}}

I still get non-italic results:

Furthermore, the following examples are all non-italic for blackboard bold fonts:
What are all the font styles I can use in math mode?

How can I slant the content of math mode? Apply some graphical transformation?

I would like to avoid extra definitions in my preamble.

Answer 1

The command for this in unicode-math is \mathbbit or \symbbit. It only supports the handful of letters defined in Unicode.

Answer 2

You can do it with XeLaTeX or LuaLaTeX. It can also be done by faking slant also with pdflatex, but this would need a whole set of virtual fonts.

\documentclass{article}
\usepackage{unicode-math}

\setmathfontface{\slantedmath}{Latin Modern Math}[FakeSlant=0.25]

\begin{document}

$𝔼 \slantedmath{𝔼}$

\end{document}

Answer 3

In pdflatex, borrowing from Shear transform a "box"

\documentclass{article}
\usepackage{amssymb}
\newsavebox{\foobox}
\newcommand{\slantbox}[2][.3]
  {%
    \mbox
      {%
        \sbox{\foobox}{#2}%
        \hskip\wd\foobox
        \pdfsave
        \pdfsetmatrix{1 0 #1 1}%
        \llap{\usebox{\foobox}}%
        \pdfrestore
      }%
  }
\begin{document}
$\slantbox{$\mathbb{E}$} = mc^2$
\end{document}