different font for mathcal while using mathpazo+eulervm

Question

I have been using mathpazo + eulervm for my LaTeX documents and I'm very happy with the results, with one exception: The characters for \mathcal do not come out the way I want; I prefer the \mathcal font under mathpazo alone. Two independent questions:

1. Is there a way to use the \mathcal fonts under mathpazo for the entire mathpazo+eulervm document?

2. Is there a way to use the \mathcal fonts under mathpazo for a specific letter for the entire mathpazo+eulervm document?

Many thanks for your help.

Answer 1

The \mathcal version defined by mathpazo is given by

\DeclareSymbolFont{symbols}{OMS}{zplm}{m}{n}
\SetSymbolFont{symbols}{bold}{OMS}{zplm}{b}{n}
\DeclareSymbolFontAlphabet{\mathcal}{symbols}

These and other math fonts definitions are of course overwritten by the ones of eulervm, so the only thing mathpazo is doing there is using a Palatino font for text. (For that you might want to switch to TeX Gyre Pagella or New PX, but that's a matter of taste.)

If you don't mind wasting a math alphabet you can adapt the lines given above to something like

\documentclass{article}

\usepackage{mathpazo}
\usepackage{eulervm}
\DeclareMathAlphabet{\mathpazocal}{OMS}{zplm}{m}{n}
\SetMathAlphabet{\mathpazocal}{bold}{OMS}{zplm}{b}{n}

\begin{document}

% eulervm version
$\mathcal{ABCDE}$ {\boldmath$\mathcal{ABCDE}$}

% mathpazo version for one single symbol
$\mathpazocal{ABCDE}$ {\boldmath$\mathpazocal{ABCDE}$}

% make them synonyms
\DeclareRobustCommand*{\mathcal}[1]{\mathpazocal{#1}}
$\mathcal{ABCDE}$ {\boldmath$\mathcal{ABCDE}$}

\end{document}