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\vskip 1cm{\LARGE\bf Infinite Products Involving $\zeta(3)$ and \\
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Catalan's  Constant}
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\large
Yasuyuki Kachi  \\
Department of Mathematics \\
University of Kansas  \\
Lawrence, KS 66045-7523 \\
USA   \\
\href{mailto:kachi@math.ku.edu}{\tt kachi@math.ku.edu} \\
\ \\
Pavlos Tzermias \\
Department of Mathematics  \\
University of Patras  \\
26500 Rion (Patras) \\
Greece  \\
\href{mailto:tzermias@math.upatras.gr}{\tt tzermias@math.upatras.gr} \\
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\begin{abstract} 
We present some  
infinite product formulas for 
$e^{\frac{7 \zeta (3)}{\pi^2}}$, $e^{\frac{4G}{\pi}}$  
and 
$e^{\frac{2 G}{\pi} \ \pm \frac{1}{2}}$,  
where $G$ is Catalan's constant. We relate these formulas to similar 
ones obtained by   
Guillera and Sondow in the context of their systematic study of 
Lerch's transcendent. Our proofs are entirely elementary.  
\end{abstract} 


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