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exponential generating function

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.

Noun

exponential generating function (plural exponential generating functions)

  1. 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.

Forms of exponential generating function

pluralexponential generating functions

Questions about exponential generating function

What does exponential generating function mean?
Exponential generating function means 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.
What part of speech is exponential generating function?
Exponential generating function is a noun.
What is the plural of exponential generating function?
The plural of exponential generating function is exponential generating functions.

Words near exponential generating function in the dictionary

  1. exponential distributions
  2. exponential equation
  3. exponential equations
  4. exponential function
  5. exponential functions
  6. exponential generating function
  7. exponential generating functions
  8. exponential growth
  9. exponential growths
  10. exponential map
  11. exponential maps

Source and license

Adapted from Wiktionary: exponential generating function (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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