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Journal of the London Mathematical Society 1995 51(1):120-136; doi:10.1112/jlms/51.1.120
© 1995 by London Mathematical Society
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© The London Mathematical Society

Some Asymptotic Formulae for q-Hypergeometric Series

Richard J. McIntosh

Department of Mathematics and Statistics, University of Regina Regina, Saskatchewan, Canada S4S 0A2 E-mail: mcintosh{at}ninja.math.uregina.ca

Received 10 February 1993.

We obtain complete asymptotic expansions for certain q-hypergeometric series, including those pertaining to the Rogers–Ramanujan identities. Comparing asymptotic expansions associated with different q-series we discovered a new q-hypergeometric function identity.


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