olemus
funktsioonide või konstantide sarja funktsioon,
mille esitamisel lõpmatu reana
on need funktsioonid või konstandid selle rea kordajad

Wiktionary:
(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

ülevaateid
http://willperkins.org/6221/slides/generating.pdf

https://en.wikipedia.org/wiki/Generating_function

https://www.math.cmu.edu/~af1p/Teaching/Combinatorics/Slides/Generating-Functions.pdf

https://www.math.cmu.edu/~lohp/docs/math/2011-228/mit-ocw-generating-func.pdf

https://www2.math.upenn.edu/~wilf/gfologyLinked2.pdf