Some new infinite families of \(\eta\)-function identities

DOI10.4310/MAA.1999.v6.n2.a7zbMath0968.33008OpenAlexW50304216MaRDI QIDQ1582295

Verne E. Leininger, Stephen C. Milne

Publication date: 12 September 2001

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.1999.v6.n2.a7

zbMATH Keywords

Chebyshev polynomialsPell's equationquintuple product identityMacdonald identitiesDedekind eta functionPell numbersidentities of Rogers-Ramanujan typeLucas sequencesmultiple basic hypergeometric seriesPythagorean trianglesvery-well-poised on unitary groups \(U(n+1)\)

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Algebraic combinatorics (05E99) Other basic hypergeometric functions and integrals in several variables (33D70)

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