Title of article
Curious extensions of Ramanujan’s 1ψ1 summation formula
Author/Authors
Victor J.W. Guo and Jiang Zeng، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
11
From page
393
To page
403
Abstract
We deduce new q-series identities by applying inverse relations to certain identities for basic hypergeometric
series. The identities obtained themselves do not belong to the hierarchy of basic hypergeometric
series. We extend two of our identities, by analytic continuation, to bilateral summation formulae which
contain Ramanujan’s 1ψ1 summation and a very-well-poised 4ψ6 summation as special cases.
© 2007 Elsevier Inc. All rights reserved
Keywords
q-Series , Ramanujan’s 1?1 summation , Bilateral series , Basic hypergeometric series , Matrix inversion
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
936090
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