Using any symbol for “\limits”

I want to use different symbols instead of Sigma for \sum and the like. I tried

\mathop{\Lambda}\limits^n_{i=1}


But the symbol is small compared to \sum

Then I tried the relsize package

\mathop{\mathlarger{\mathlarger{\mathlarger{\mathlarger{\Lambda}}}}}\limits^n_{i=1}


But then it throws off the baseline

Ideally I want the two to be vertically aligned.

Any help is appreciated.

EDIT: Both answers are great. But both have some scaling problems

Steven's solution is too big in display mode:

$$\sum_{i=1}^n \bigGreek{\Lambda}_{i=1}^n\foo_{i=1}^n \sum_{i=1}^n$$


egreg's solution is too small in inline mode (removed limits for clearer comparison)

Inline: $\sum \bigGreek{\Lambda} \foo \sum$


In practice, I probably will be using a combination of both. Unfortunately I can only accept one answer, and my OP was in display mode.

• – Au101 Apr 26 '16 at 23:47

A variation on \bigmaltese:

\documentclass{article}
\usepackage{graphicx}
\usepackage{amsmath}

\makeatletter
\newcommand{\bigGreek}[1]{%
\DOTSB
\mathop{% we want it to be an operator
\mathchoice{\big@Greek\displaystyle\Large{#1}}
{\big@Greek\textstyle\large{#1}}
{\big@Greek\scriptstyle\normalsize{#1}}
{\big@Greek\scriptscriptstyle\small{#1}}%
}\slimits@
}

\newcommand{\big@Greek}[3]{%
\vcenter{%
\sbox\z@{$#1\sum$}%
\dimen@=0.875\dimexpr\ht\z@+\dp\z@\relax
#2% font size
\hbox{\resizebox{!}{\dimen@}{$\m@th#3$}}%
}%
\vphantom{\sum}%
}
\makeatother

\newcommand{\bigLambda}{\bigGreek{\Lambda}}

\begin{document}
Here's in text, $\bigLambda_{i=1}^n x_i$, next in display
$\bigGreek{\Xi}_{i=1}^n \bigGreek{\Sigma}_{i=1}^n \sum_{i=1}^n \bigLambda_{i=1}^n x_i$
\end{document}


Using my answer at How are big operators defined?, I merely substituted \Lambda instead of \maltese. While the symbols are slightly different vertical heights, one notes the limits are aligned for both the sigma and lambda.

\documentclass{article}
\usepackage{amsmath}
\usepackage{amsfonts}
\DeclareMathOperator*{\foo}{\scalerel*{\Lambda}{\sum}}
\usepackage{scalerel}
\begin{document}
\centering
$\sum_{k=1}^6\foo_{i=3}^{k}(f^2(i)f(k))$

This is inline: $$\sum_{k=1}^6\foo_{i=3}^{k}(f^2(i)f(k))$$
\end{document}


The answers given assume that a big lambda operator is really what is wanted here. But couldn't the solution in this particular case be just \bigwedge?