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\vskip 1cm{\LARGE\bf 
Infinite Series Associated with the Ratio \\
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and Product of Central Binomial Coefficients
}
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\large
Narendra Bhandari\\ 
Department of Mathematics \\
University of Delhi\\
Budhiganga-01, Bajura\\
Nepal \\
\href{mailto: narenbhandari04@gmail.com}{\tt narenbhandari04@gmail.com}
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\begin{abstract}
We establish several interesting series associated with the ratio and
the product of central binomial coefficients, namely ${2n\choose n}$ and
${4n\choose 2n} $. Series involving the product of central binomial coefficients
can be found in the papers of Campbell, D'Aurizio, and Sondow. In this
paper, through the application of integration methods, we
address broad generalizations of both classes. The techniques involved
in constructing the integrals for the corresponding series are 
based on the use of the ordinary generating functions of central binomial
coefficients and Wallis' well-known integral formulas.
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