Rogers–Ramanujan identities
Mathematical identities related to basic hypergeometric series
Facts
5 properties- Instance of
- theorem
- Facet of
- hypergeometric series[3]
- Defining formula
- G(q) = \sum_{n=0}^\infty \frac {q^{n^2}} {(q;q)_n} = \frac {1}{(q;q^5)_\infty (q^4; q^5)_\infty}=1+ q +q^2 +q^3 +2q^4+2q^5 +3q^6+\cdots, H(q) =\sum_{n=0}^\infty \frac{q^{n^2+n}} {(q;q)_n} = \frac {1}{(q^2;q^5)_\infty (q^3; q^5)_\infty}=1+q^2 +q^3 +q^4+q^5 +2q^6+\cdots
- Maintained by WikiProject
- WikiProject Mathematics[4]
- Named after
- Leonard James Rogers, Srinivasa Ramanujan[1][2]
🏷️ Also known as
en Rogers–Ramanujan identities
da Rogers–Ramanujan-identiteter
de Rogers-Ramanujan-Identitäten
es identidades de Rogers-Ramanujan
fa همانیهای روجرز - رامانوجان
fr identités de Rogers-Ramanujan
ja ロジャース・ラマヌジャン恒等式
ja ロジャーズ・ラマヌジャン恒等式
sv Rogers–Ramanujan-identiteterna
uk Тотожність Роджерса — Рамануджана
zh 羅傑斯-拉馬努金恆等式
🔖 Identifiers · 5
- Encyclopedia of China (Third Edition) ID (2026)
- 2AhGvw
- Encyclopedia of China (Third Edition) old ID (2021)
- 57137
- Freebase ID
- /m/073wyw
- MathWorld ID
- Rogers-RamanujanIdentities
- Microsoft Academic ID (discontinued)
- 191834802
🔗 Connections
Created notable works 2
Named after 2
Facet of 1
Instance of 1
Maintained by WikiProject 1
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