Another family of q-Lagrange inversion formulas

DOI10.1216/RMJ-1986-16-2-373zbMath0613.33003OpenAlexW2093919407MaRDI QIDQ1088823

Ira M. Gessel, Dennis W. Stanton

Publication date: 1986

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1986-16-2-373

zbMATH Keywords

identities of Rogers-Ramanujan typebasic differential operatordiscrete q-ultraspherical polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (16)

Consequences of the \(A_ l\) and \(C_ l\) Bailey transform and Bailey lemma ⋮ Balanced \(_ 3\phi_ 2\) summation theorems for \(U(n)\) basic hypergeometric series ⋮ Generalized bibasic hypergeometric series and their \(U(n)\) extensions ⋮ \( \pi \)-formulas from dual series of the Dougall theorem ⋮ Divided differences and generalized Taylor series ⋮ The multisection method for triple products and identities of Rogers-Ramanujan type ⋮ Positivity preserving transformations for 𝑞-binomial coefficients ⋮ The \(C_ \ell\) Bailey transform and Bailey lemma ⋮ Integral Representation and Algorithms for Closed Form Summation ⋮ Bilateral Bailey lemma and Rogers-Ramanujan identities ⋮ Ramanujan-like formulae for \(\pi\) and \(1/\pi\) via Gould-Hsu inverse series relations ⋮ Operator Methods and Lagrange Inversion: A Unified Approach to Lagrange Formulas ⋮ A new multidimensional matrix inverse with applications to multiple \(q\)-series ⋮ Summation, Transformation, and Expansion Formulas for Bibasic Series ⋮ Summation and transformation formulas for elliptic hypergeometric series. ⋮ \(q\)-Triplicate inverse series relations with applications to \(q\)-series

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