Another family of q-lagrange inversion formulas

Ira Gessel; Dennis Stanton

doi:10.1216/RMJ-1986-16-2-373

Another family of q-lagrange inversion formulas

Ira Gessel, Dennis Stanton

School of Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

A q-analog of Lagrange inversion is stated for (x (1 — x^r)^b). Applications to basic hypergeometric series, identities of the Rogers-Ramanujan type, and orthogonal polynomials are given.

Original language	English (US)
Pages (from-to)	373-384
Number of pages	12
Journal	Rocky Mountain Journal of Mathematics
Volume	16
Issue number	2
DOIs	https://doi.org/10.1216/RMJ-1986-16-2-373
State	Published - 1986

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title = "Another family of q-lagrange inversion formulas",

abstract = "A q-analog of Lagrange inversion is stated for (x (1 — xr)b). Applications to basic hypergeometric series, identities of the Rogers-Ramanujan type, and orthogonal polynomials are given.",

author = "Ira Gessel and Dennis Stanton",

year = "1986",

doi = "10.1216/RMJ-1986-16-2-373",

language = "English (US)",

volume = "16",

pages = "373--384",

journal = "Rocky Mountain Journal of Mathematics",

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AU - Stanton, Dennis

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DO - 10.1216/RMJ-1986-16-2-373

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JO - Rocky Mountain Journal of Mathematics

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Another family of q-lagrange inversion formulas

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