exponential generating function

English

Noun

exponential generating function (plural exponential generating functions)

1. (mathematics) A formal power series with one indeterminate, whose coefficients are fractions with factorial denominators (of index corresponding to the power of the indeterminate) and numerators which represent a sequence of numbers that is to be studied.

   Exponential generating functions are generally more convenient than ordinary generating functions for combinatorial enumeration problems that involve labelled objects.

Hypernyms

• generating function

References

• exponential generating function on Wikipedia.Wikipedia