exponential generating function

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.”

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Meanings

nounexponential generating function (plural exponential generating functions)

plural exponential generating functions

  1. mathematicsA 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.

Translations

Bulgarian експоненциална пораждаща функция
  • експоненциална пораждаща функция (eksponencialna poraždašta funkcija)formal power series
Cite this entry
APA

exponential generating function. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/exponential%20generating%20function

MLA

“exponential generating function.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/exponential%20generating%20function. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “exponential generating function,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/exponential%20generating%20function.

Source: exponential generating function on Wiktionary, CC BY-SA 4.0.