Applications of 𝑞-Lagrange inversion to basic hypergeometric series-Reference-Cited by-同舟云学术

Applications of 𝑞-Lagrange inversion to basic hypergeometric series

Published:1983 Issue:1 Volume:277 Page:173-201
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Gessel Ira,Stanton Dennis

Abstract

A family of q q -Lagrange inversion formulas is given. Special cases include quadratic and cubic transformations for basic hypergeometric series. The q q -analogs of the so-called "strange evaluations" are also corollaries. Some new RogersRamanujan identities are given. A connection between the work of Rogers and Andrews, and q q -Lagrange inversion is stated.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1983-277-01/S0002-9947-1983-0690047-7/S0002-9947-1983-0690047-7.pdf

Reference33 articles.

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3. On quadratic transformations of basic series;Al-Salam, W. A.;SIAM J. Math. Anal.,1984

4. Identities in combinatorics. II. A 𝑞-analog of the Lagrange inversion theorem;Andrews, George E.;Proc. Amer. Math. Soc.,1975

5. On 𝑞-analogues of the Watson and Whipple summations;Andrews, George E.;SIAM J. Math. Anal.,1976

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