Generating functions are a highly useful tool. Actually, they are rarely used. They can find application within many branches of physical chemistry. Instead of talking long about what is a generating function, we show examples of generating functions. The coefficients of the exponential function are the reciprocal factorials of the natural numbers, because The binomial coefficients are the coefficients of the series expansion of the expression.
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Fink, J.K. (2009). Generating Functions. In: Physical Chemistry in Depth. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01014-9_12
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DOI: https://doi.org/10.1007/978-3-642-01014-9_12
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