I want to use a slanted \sum symbol denoting a different meaning from summation. How do I get a slanted \sum symbol?

I want to use a slanted \sum symbol denoting a different meaning from summation. How do I get a slanted \sum symbol?

If you are using pdfTeX then you can try this code:
\def\itsum{\mathop{\mathpalette\itsumA{}\phantom\sum}}
\def\itsumA#1#2{\pdfsave\pdfliteral{1 0 .2 1 0 0 cm}\rlap{$#1\sum$}\pdfrestore}
$\sum_i^5 \itsum_j^{\,7} a_{ij}$

{if pdf}{<\pdfliteral code>}{<\special code>}
– percusse
Jan 04 '15 at 03:37
\pdfliteral isn't accessible then I define it as \def\pdfliteral#1{\special{pdf:literal #1}}. This allows me to keep the \pdfliteral-dependent macros unchanged.
– wipet
Jan 04 '15 at 06:58
One way to do it is to use a slanted capital sigma. By using the scalerel package, one can make that symbol (approximately) the same size as the original \sum operator:
\documentclass{article}
\usepackage{amsmath}
\usepackage{scalerel}
\DeclareMathOperator*{\itsum}{\scalerel*{\mathit{\Sigma}}{\sum}}
\begin{document}
\[
\sum_i x_i\quad\itsum_i x_i
\]
\end{document}

\fboxsep=0pt\fbox{$\mathit{\Sigma}$}\fbox{$\displaystyle\sum$} (with the scalerel package loaded). The \sum has a built in padding above and below the glyph, which is absent in the \Sigma (\mathit or otherwise). Thus, the \scalreled \Sigma is grown to the size of the padded \sum, which is slightly larger than the actual glyph.
– Steven B. Segletes
Jan 03 '15 at 04:20
amsmath package, but strangely not in the Comprehensive list.
– Sandy G
Jan 09 '23 at 16:35
With l3draw (and the standard \mathpalette)
\documentclass{article}
\usepackage{amsmath}
\usepackage{l3draw}
\makeatletter
\NewDocumentCommand{\slsum}{}{%
\DOTSB
\mathop{\vphantom{\sum}\mathpalette\slsum@\relax}
\slimits@
}
\NewDocumentCommand{\slsum@}{mm}{%
\vcenter{\hbox{%
\xslantobject{$\m@th#1\sum$}{0.4}%
}}%
}
\makeatother
\ExplSyntaxOn
\NewDocumentCommand{\xslantobject}{mm}
{
\draw_begin:
\draw_transform_xslant:n { #2 }
\hbox_set:Nn \l_tmpa_box { #1 }
\draw_box_use:N \l_tmpa_box
\draw_end:
}
\ExplSyntaxOff
\begin{document}
[
\sum_{i\ge0}\slsum_{i\ge0}
]
\begin{center}
$\sum\slsum$
\end{center}
\end{document}