exponential generating function

Meaning

1. noun 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.

Similar words

generating function exponential exponentiation exponential equation exponential function formal power series preexponent polyexponential hypergeometric series power series