Using LaTeX to render hypergeometric function notation
\setlength\arraycolsep{1pt}
{}_3 F_2\left(\begin{matrix}a& &b& &c\\&d&
&e&\end{matrix};z\right)
That tightens up the spacing quite a bit. I made a hypergeometric macro previously, but it doesn't support the ;z
, unfortunately.
\newcommand*\pFq[2]{{}_{#1}F_{#2}\genfrac[]{0pt}{}}
Then you use \pFq{3}{2}{a,b,c}{d,e}
. (Or replace the commas with any other sort of spacing you want.) I was fairly happy with that.
Edit: Actually, how about something like this?
\newcommand*\pFqskip{8mu}
\catcode`,\active
\newcommand*\pFq{\begingroup
\catcode`\,\active
\def ,{\mskip\pFqskip\relax}%
\dopFq
}
\catcode`\,12
\def\dopFq#1#2#3#4#5{%
{}_{#1}F_{#2}\biggl[\genfrac..{0pt}{}{#3}{#4};#5\biggr]%
\endgroup
}
Change \pFqskip
to whatever spacing you want between the elements. You use it like
\pFq{3}{2}{a,b,c}{d,e}{z}
A modification of TH's answer that allows \pFq
to be in the argument of other commands.
\documentclass{article}
\usepackage{amsmath}
\newmuskip\pFqmuskip
\newcommand*\pFq[6][8]{%
\begingroup % only local assignments
\pFqmuskip=#1mu\relax
% make the comma math active
\mathcode`\,=\string"8000
% and define it to be \pFqcomma
\begingroup\lccode`\~=`\,
\lowercase{\endgroup\let~}\pFqcomma
% typeset the formula
{}_{#2}F_{#3}{\left[\genfrac..{0pt}{}{#4}{#5};#6\right]}%
\endgroup
}
\newcommand{\pFqcomma}{\mskip\pFqmuskip}
\begin{document}
\[
\pFq{3}{2}{a,b,c}{d,e}{z}
\qquad
\pFq[4]{3}{2}{a,b,c}{d,e}{z}
\qquad
\textstyle\pFq{3}{2}{a,b,c}{d,e}{z}
\]
\end{document}
The trick is using math activation, rather than activation tout court. There's also an optional argument for changing the default spacing between the coefficients.
A modification for keeping the comma:
\documentclass{article}
\usepackage{amsmath}
\newmuskip\pFqmuskip
\newcommand*\pFq[6][8]{%
\begingroup % only local assignments
\pFqmuskip=#1mu\relax
\mathchardef\normalcomma=\mathcode`,
% make the comma math active
\mathcode`\,=\string"8000
% and define it to be \pFqcomma
\begingroup\lccode`\~=`\,
\lowercase{\endgroup\let~}\pFqcomma
% typeset the formula
{}_{#2}F_{#3}{\left[\genfrac..{0pt}{}{#4}{#5};#6\right]}%
\endgroup
}
\newcommand{\pFqcomma}{{\normalcomma}\mskip\pFqmuskip}
\begin{document}
\[
\pFq{3}{2}{a,b,c}{d,e}{z}
\qquad
\pFq[4]{3}{2}{a,b,c}{d,e}{z}
\qquad
\textstyle\pFq{3}{2}{a,b,c}{d,e}{z}
\]
\end{document}