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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.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
Examples
- 2003, Sergei K. Lando (author & translator), Lectures on Generating Functions, American Mathematical Society.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
The concept was introduced by French mathematician Abraham de Moivre in 1730.
Across languages
Translations
12 source translations are retained for this English entry.
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Bulgarian:
пораждаща функция
(poraždašta funkcija)
— formal power series whose coefficients encode a sequence
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Finnish:
generoiva funktio
— formal power series whose coefficients encode a sequence
-
Finnish:
emäfunktio
— formal power series whose coefficients encode a sequence
-
French:
fonction génératrice
— formal power series whose coefficients encode a sequence
-
French:
série génératrice
— formal power series whose coefficients encode a sequence
-
German:
erzeugende Funktion
— formal power series whose coefficients encode a sequence
-
Italian:
funzione generatrice
— formal power series whose coefficients encode a sequence
-
Portuguese:
função geradora
— formal power series whose coefficients encode a sequence
-
Portuguese:
função geratriz
— formal power series whose coefficients encode a sequence
-
Spanish:
función generadora
— formal power series whose coefficients encode a sequence
-
Spanish:
función generatriz
— formal power series whose coefficients encode a sequence
-
Turkish:
akım fonksiyonu
— formal power series whose coefficients encode a sequence
