Andrews–Baxter–Forrester method

E440257

analytic technique combinatorial technique mathematical method

The Andrews–Baxter–Forrester method is a combinatorial and analytic technique in q-series and partition theory used to derive and generalize Rogers–Ramanujan-type identities.

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Statements (25)

Predicate	Object
instanceOf	analytic technique ⓘ combinatorial technique ⓘ mathematical method ⓘ
appliesTo	Rogers–Ramanujan identities NERFINISHED ⓘ Rogers–Ramanujan-type q-series identities ⓘ
concerns	generating functions ⓘ integer partitions ⓘ q-series transformations ⓘ
developedInField	combinatorics ⓘ number theory ⓘ
field	partition theory ⓘ q-series ⓘ
hasAbbreviation	ABF method ⓘ
hasAspect	analytic ⓘ combinatorial ⓘ
namedAfter	George E. Andrews NERFINISHED ⓘ Peter J. Forrester NERFINISHED ⓘ Rodney J. Baxter NERFINISHED ⓘ
relatedTo	Rogers–Ramanujan continued fraction NERFINISHED ⓘ partition identities ⓘ q-hypergeometric series ⓘ
usedFor	deriving Rogers–Ramanujan-type identities ⓘ generalizing Rogers–Ramanujan-type identities ⓘ
usedIn	analytic proofs of q-series identities ⓘ combinatorial proofs of q-series identities ⓘ

Referenced by (1)

Full triples — surface form annotated when it differs from this entity's canonical label.

Rogers–Ramanujan-type identities → hasGeneralizationMethod → Andrews–Baxter–Forrester method ⓘ