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The Quarterly Journal of Mathematics Advance Access originally published online on October 30, 2007
The Quarterly Journal of Mathematics 2008 59(3):389-407; doi:10.1093/qmath/ham045
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© 2007. Published by Oxford University Press. All rights reserved For permissions, please email: journals.permissions@oxfordjournals.org

SCALED ASYMPTOTICS FOR SOME q-SERIES

Ruiming Zhang{dagger}

School of Mathematics, Guangxi Normal University, Guilin City, Guangxi 541004, People’s Republic of China

{dagger} E-mail: ruimingzhang{at}yahoo.com

Received 25 May 2007;
  Abstract

This work, investigates the asymptotics for Euler’s q-exponential Eq(z), Ramanujan’s function Aq(z), Jackson’s q-Bessel function Jv(2) (z; q), the Stieltjes–Wigert orthogonal polynomials Sn(x; q) and q-Laguerre polynomials Ln({alpha}) (x; q) as q approaches 1.


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