Usually means: Mathematical tool encoding sequence coefficients.
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We found 7 dictionaries that define the word generating function:

General (2 matching dictionaries)
  1. generating function: Wiktionary
  2. Generating function (physics), Generating function (statistics), Generating function: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. generating function: Encyclopedia

Science (4 matching dictionaries)
  1. A Glossary of Mathematical Terms (No longer online)
  2. Generating Function: Eric Weisstein's World of Mathematics
  3. Generating Function: Eric Weisstein's World of Physics
  4. generating function: PlanetMath Encyclopedia

Definitions from Wiktionary (generating function)

noun:  (mathematics) A formal power series with one indeterminate, whose coefficients encode a sequence that can be studied by algebraic manipulation of the series; any one of several generalizations, such as to encode more than one sequence or use more than one indeterminate.

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